diff --git a/sqlglot/dialects/postgres.py b/sqlglot/dialects/postgres.py
index 891596a6..880a6c2d 100644
--- a/sqlglot/dialects/postgres.py
+++ b/sqlglot/dialects/postgres.py
@@ -284,6 +284,7 @@ class Postgres(Dialect):
             "TEMP": TokenType.TEMPORARY,
             "CSTRING": TokenType.PSEUDO_TYPE,
             "OID": TokenType.OBJECT_IDENTIFIER,
+            "OPERATOR": TokenType.OPERATOR,
             "REGCLASS": TokenType.OBJECT_IDENTIFIER,
             "REGCOLLATION": TokenType.OBJECT_IDENTIFIER,
             "REGCONFIG": TokenType.OBJECT_IDENTIFIER,
@@ -333,12 +334,13 @@ class Postgres(Dialect):
 
         RANGE_PARSERS = {
             **parser.Parser.RANGE_PARSERS,
+            TokenType.AT_GT: binary_range_parser(exp.ArrayContains),
             TokenType.DAMP: binary_range_parser(exp.ArrayOverlaps),
             TokenType.DAT: lambda self, this: self.expression(
                 exp.MatchAgainst, this=self._parse_bitwise(), expressions=[this]
             ),
-            TokenType.AT_GT: binary_range_parser(exp.ArrayContains),
             TokenType.LT_AT: binary_range_parser(exp.ArrayContained),
+            TokenType.OPERATOR: lambda self, this: self._parse_operator(this),
         }
 
         STATEMENT_PARSERS = {
@@ -346,6 +348,29 @@ class Postgres(Dialect):
             TokenType.END: lambda self: self._parse_commit_or_rollback(),
         }
 
+        def _parse_operator(self, this: t.Optional[exp.Expression]) -> t.Optional[exp.Expression]:
+            while True:
+                if not self._match(TokenType.L_PAREN):
+                    break
+
+                op = ""
+                while self._curr and not self._match(TokenType.R_PAREN):
+                    op += self._curr.text
+                    self._advance()
+
+                this = self.expression(
+                    exp.Operator,
+                    comments=self._prev_comments,
+                    this=this,
+                    operator=op,
+                    expression=self._parse_bitwise(),
+                )
+
+                if not self._match(TokenType.OPERATOR):
+                    break
+
+            return this
+
         def _parse_date_part(self) -> exp.Expression:
             part = self._parse_type()
             self._match(TokenType.COMMA)
diff --git a/sqlglot/expressions.py b/sqlglot/expressions.py
index aad679d0..5c276be8 100644
--- a/sqlglot/expressions.py
+++ b/sqlglot/expressions.py
@@ -4036,6 +4036,11 @@ class NEQ(Binary, Predicate):
     pass
 
 
+# https://www.postgresql.org/docs/current/ddl-schemas.html#DDL-SCHEMAS-PATH
+class Operator(Binary):
+    arg_types = {"this": True, "operator": True, "expression": True}
+
+
 class SimilarTo(Binary, Predicate):
     pass
 
diff --git a/sqlglot/generator.py b/sqlglot/generator.py
index 9e432716..14125733 100644
--- a/sqlglot/generator.py
+++ b/sqlglot/generator.py
@@ -3050,6 +3050,9 @@ class Generator:
         table = "" if isinstance(expression.this, exp.Literal) else "TABLE "
         return f"REFRESH {table}{this}"
 
+    def operator_sql(self, expression: exp.Operator) -> str:
+        return self.binary(expression, f"OPERATOR({self.sql(expression, 'operator')})")
+
     def _simplify_unless_literal(self, expression: E) -> E:
         if not isinstance(expression, exp.Literal):
             from sqlglot.optimizer.simplify import simplify
diff --git a/sqlglot/parser.py b/sqlglot/parser.py
index 1689c43f..60bd1a7b 100644
--- a/sqlglot/parser.py
+++ b/sqlglot/parser.py
@@ -293,6 +293,7 @@ class Parser(metaclass=_Parser):
         TokenType.NATURAL,
         TokenType.NEXT,
         TokenType.OFFSET,
+        TokenType.OPERATOR,
         TokenType.ORDINALITY,
         TokenType.OVERLAPS,
         TokenType.OVERWRITE,
@@ -3336,7 +3337,7 @@ class Parser(metaclass=_Parser):
 
         return this
 
-    def _parse_between(self, this: exp.Expression) -> exp.Between:
+    def _parse_between(self, this: t.Optional[exp.Expression]) -> exp.Between:
         low = self._parse_bitwise()
         self._match(TokenType.AND)
         high = self._parse_bitwise()
@@ -5362,7 +5363,9 @@ class Parser(metaclass=_Parser):
         self._match_r_paren()
         return self.expression(exp.DictRange, this=this, min=min, max=max)
 
-    def _parse_comprehension(self, this: exp.Expression) -> t.Optional[exp.Comprehension]:
+    def _parse_comprehension(
+        self, this: t.Optional[exp.Expression]
+    ) -> t.Optional[exp.Comprehension]:
         index = self._index
         expression = self._parse_column()
         if not self._match(TokenType.IN):
diff --git a/sqlglot/tokens.py b/sqlglot/tokens.py
index e933929e..a8c7dfc4 100644
--- a/sqlglot/tokens.py
+++ b/sqlglot/tokens.py
@@ -276,6 +276,7 @@ class TokenType(AutoName):
     OBJECT_IDENTIFIER = auto()
     OFFSET = auto()
     ON = auto()
+    OPERATOR = auto()
     ORDER_BY = auto()
     ORDERED = auto()
     ORDINALITY = auto()

diff --git a/tests/dialects/test_postgres.py b/tests/dialects/test_postgres.py
index ef5fc99b..0435aad7 100644
--- a/tests/dialects/test_postgres.py
+++ b/tests/dialects/test_postgres.py
@@ -177,6 +177,20 @@ class TestPostgres(Validator):
             },
         )
 
+    def test_operator(self):
+        expr = parse_one("1 OPERATOR(+) 2 OPERATOR(*) 3", read="postgres")
+
+        expr.left.assert_is(exp.Operator)
+        expr.left.left.assert_is(exp.Literal)
+        expr.left.right.assert_is(exp.Literal)
+        expr.right.assert_is(exp.Literal)
+        self.assertEqual(expr.sql(dialect="postgres"), "1 OPERATOR(+) 2 OPERATOR(*) 3")
+
+        self.validate_identity("SELECT operator FROM t")
+        self.validate_identity("SELECT 1 OPERATOR(+) 2")
+        self.validate_identity("SELECT 1 OPERATOR(+) /* foo */ 2")
+        self.validate_identity("SELECT 1 OPERATOR(pg_catalog.+) 2")
+
     def test_postgres(self):
         expr = parse_one(
             "SELECT * FROM r CROSS JOIN LATERAL UNNEST(ARRAY[1]) AS s(location)", read="postgres"
@@ -203,6 +217,14 @@ class TestPostgres(Validator):
         self.assertIsInstance(expr, exp.AlterTable)
         self.assertEqual(expr.sql(dialect="postgres"), alter_table_only)
 
+        self.validate_identity(
+            "SELECT c.oid, n.nspname, c.relname "
+            "FROM pg_catalog.pg_class AS c "
+            "LEFT JOIN pg_catalog.pg_namespace AS n ON n.oid = c.relnamespace "
+            "WHERE c.relname OPERATOR(pg_catalog.~) '^(courses)$' COLLATE pg_catalog.default AND "
+            "pg_catalog.PG_TABLE_IS_VISIBLE(c.oid) "
+            "ORDER BY 2, 3"
+        )
         self.validate_identity(
             "SELECT ARRAY[]::INT[] AS foo",
             "SELECT CAST(ARRAY[] AS INT[]) AS foo",

Not able to parse this query for postgres dialect 
# query

sql5 = """SELECT c.oid, n.nspname, c.relname FROM pg_catalog.pg_class c LEFT JOIN pg_catalog.pg_namespace n ON n.oid = c.relnamespace WHERE c.relname OPERATOR(pg_catalog.~) '^(courses)$' COLLATE pg_catalog.default AND pg_catalog.pg_table_is_visible(c.oid) ORDER BY 2, 3;"""

# Parse the SQL query
parsed_sql = parse_one(sql5, read="postgres")
select_clauses = parsed_sql.find_all(exp.Select)

# error
error = sqlglot.errors.ParseError: Invalid expression / Unexpected token. Line 1, Col: 148.
  pg_catalog.pg_class c LEFT JOIN pg_catalog.pg_namespace n ON n.oid = c.relnamespace WHERE c.relname OPERATOR(pg_catalog.~) '^(courses)$' COLLATE pg_catalog.default AND pg_catalog.pg_table_is_visible(c.oid) OR

tests/dialects/test_postgres.py::TestPostgres::test_operator tests/dialects/test_postgres.py::TestPostgres::test_postgres
tests/dialects/test_postgres.py::TestPostgres::test_array_offset tests/dialects/test_postgres.py::TestPostgres::test_bool_or tests/dialects/test_postgres.py::TestPostgres::test_ddl tests/dialects/test_postgres.py::TestPostgres::test_regexp_binary tests/dialects/test_postgres.py::TestPostgres::test_string_concat tests/dialects/test_postgres.py::TestPostgres::test_unnest tests/dialects/test_postgres.py::TestPostgres::test_variance