Parker's last season was 1991. He played for the California Angels until late in the season when he was released. The Toronto Blue Jays then signed him as insurance for the pennant race, and Parker hit .333 in limited action. Since he was acquired too late in the season, however, he did not qualify for inclusion on the post-season roster and thus was unable to play in the American League Championship Series against the Minnesota Twins, which the Blue Jays lost in five games. Parker retired at the end of the season.