Cimino spent 1966 as a relief pitcher for the Twins. He pitched 64.2 innings in 35 games and struck out 57. His 2.92 ERA was better than the league average. On December 2, he was traded, along with Jimmie Hall and Don Mincher, to the California Angels, for Dean Chance and Jackie Hernández. In 1967, he had 80 strikeouts in 88.1 innings for the Angels. He also started off 1968 with the major league club, pitching in four games, but was sold to the Seattle Angels on May 8. Cimino never returned to the major leagues.