 After attending Wake Forest University from 1976 to 1979, where he was a conference all star and second in all-time career sacks with 15, Parker joined the Edmonton Eskimos in 1980, right in the middle of the greatest dynasty in CFL history.He played with them for 4 years, until 1983, when he moved to the BC Lions for six seasons (from 1984 to 1989) and finished his 12-year career with the Toronto Argonauts (1990 to 1991).Though small, Parker was famed for his quick burst off the line of scrimmage.