Parker has appeared in the films Turk 182! (with Kim Cattrall), The Bonfire of the Vanities (with Kim Cattrall, Saul Rubinek and Kirsten Dunst) and Up Close & Personal (with Raymond Cruz, Noble Willingham, Brian Markinson, Heidi Swedberg, Daniel Zacapa and Michael Shamus Wiles) and had recurring roles in the television series Dark Shadows, As the World Turns, Family Ties and Falcon Crest (with Robert Foxworth). Parker also guest starred in Ryan's Hope, Kojak, Miami Vice, The Bronx Zoo and Jake and the Fatman.