Strickland appeared in 11 episodes of Dr. Quinn, Medicine Woman from 1993–94 as the character Olive Davis. She guest starred in the Star Trek: Deep Space Nine episode "Paradise", as the character Alixus. In 1994-95, she appeared as Mrs. Landis of Doubleday in the Seinfeld season 6 episodes, "The Chaperone" and "The Switch". She appeared on the U.S. Navy series JAG first season episode "War Crimes". She played Ambassador Bartlett, the U.S. ambassador to Peru. Strickland also played Esther MacInerney, the wife of A.J. MacInerney (Martin Sheen), Chief of Staff for President Andrew Shepherd (Michael Douglas), in the 1995 movie The American President. She played Dr. Rene Spielman on ER season 6, episode 6, "The Peace of Wild Things".