diff --git a/pyupgrade/_plugins/legacy.py b/pyupgrade/_plugins/legacy.py
index f7ba376..3ae702a 100644
--- a/pyupgrade/_plugins/legacy.py
+++ b/pyupgrade/_plugins/legacy.py
@@ -8,6 +8,7 @@ from typing import Iterable
 from typing import List
 from typing import Set
 from typing import Tuple
+from typing import Union
 
 from tokenize_rt import Offset
 from tokenize_rt import Token
@@ -25,6 +26,7 @@ from pyupgrade._token_helpers import find_token
 
 FUNC_TYPES = (ast.Lambda, ast.FunctionDef, ast.AsyncFunctionDef)
 NON_LAMBDA_FUNC_TYPES = (ast.FunctionDef, ast.AsyncFunctionDef)
+NonLambdaFuncTypes_T = Union[ast.FunctionDef, ast.AsyncFunctionDef]
 
 
 def _fix_yield(i: int, tokens: List[Token]) -> None:
@@ -44,6 +46,14 @@ def _is_simple_base(base: ast.AST) -> bool:
     )
 
 
+def _is_staticmethod_decorated(node: NonLambdaFuncTypes_T) -> bool:
+    for decorator in node.decorator_list:
+        if isinstance(decorator, ast.Name) and decorator.id == 'staticmethod':
+            return True
+    else:
+        return False
+
+
 class Scope:
     def __init__(self, node: ast.AST) -> None:
         self.node = node
@@ -127,6 +137,7 @@ class Visitor(ast.NodeVisitor):
                 isinstance(self._scopes[-1].node, NON_LAMBDA_FUNC_TYPES) and
                 node.func.attr == self._scopes[-1].node.name and
                 node.func.attr != '__new__' and
+                not _is_staticmethod_decorated(self._scopes[-1].node) and
                 len(self._scopes[-1].node.args.args) >= 1 and
                 node.args[0].id == self._scopes[-1].node.args.args[0].arg and
                 # the function is an attribute of the contained class name

diff --git a/tests/features/super_test.py b/tests/features/super_test.py
index 8e3be14..e58ffea 100644
--- a/tests/features/super_test.py
+++ b/tests/features/super_test.py
@@ -188,6 +188,13 @@ def test_fix_super(s, expected):
             '        return tuple.__new__(cls, (arg,))\n',
             id='super() does not work properly for __new__',
         ),
+        pytest.param(
+            'class C(B):\n'
+            '    @staticmethod\n'
+            '    def f(arg):\n'
+            '       return B.f(arg)\n',
+            id='skip staticmethod',
+        ),
     ),
 )
 def test_old_style_class_super_noop(s):
@@ -207,6 +214,17 @@ def test_old_style_class_super_noop(s):
             '        super().f()\n'
             '        super().f(arg, arg)\n',
         ),
+        pytest.param(
+            'class C(B):\n'
+            '    @classmethod\n'
+            '    def f(cls):\n'
+            '        B.f(cls)\n',
+            'class C(B):\n'
+            '    @classmethod\n'
+            '    def f(cls):\n'
+            '        super().f()\n',
+            id='@classmethod',
+        ),
         pytest.param(
             'class C(B):\n'
             '    def f(self, a):\n'

Rewriting old-style superclasses removes args for static methods
```python
class Parent:
    @staticmethod
    def func(arg):
        return 0


class Child(Parent):
    @staticmethod
    def func(arg):
        return Parent.func(arg)
```
rewrites `Parent._thing(arg)` to `super()._thing()` rather than `super()._thing(arg)`
tests/features/super_test.py::test_old_style_class_super_noop[skip
tests/features/super_test.py::test_fix_super_noop[x(] tests/features/super_test.py::test_fix_super_noop[class tests/features/super_test.py::test_fix_super_noop[def tests/features/super_test.py::test_fix_super[class tests/features/super_test.py::test_fix_super[async tests/features/super_test.py::test_old_style_class_super_noop[old tests/features/super_test.py::test_old_style_class_super_noop[old-style tests/features/super_test.py::test_old_style_class_super_noop[super tests/features/super_test.py::test_old_style_class_super_noop[not tests/features/super_test.py::test_old_style_class_super_noop[non tests/features/super_test.py::test_old_style_class_super_noop[class tests/features/super_test.py::test_old_style_class_super_noop[super() tests/features/super_test.py::test_old_style_class_super[class tests/features/super_test.py::test_old_style_class_super[@classmethod] tests/features/super_test.py::test_old_style_class_super[multi-line