He played in Major League Baseball as a pitcher from 1970 to 1976 and in 1978 for the Boston Red Sox, Atlanta Braves, and the Texas Rangers.

In the ALCS, he was the winning pitcher in relief of Reggie Cleveland in Game 2 against the Oakland Athletics, hurling a scoreless sixth inning and earning the victory when Boston broke a 3–3 tie in their half of the frame.

[2] Nearly one year later on December 9, 1976, Moret was part of a five-for-one trade that sent him, Ken Henderson, Dave May, Adrian Devine, Carl Morton, and $200,000 from the Braves to the Rangers for Jeff Burroughs.

[3] Scheduled to be the starting pitcher against the Detroit Tigers on April 12, 1978, Moret was spotted in the Rangers locker room in a catatonic state, with his arm extended holding a slipper.

[4][5] In the film Fever Pitch, the incident was cited as an instance where the Curse of the Bambino struck the Red Sox, but this is an error, as Moret was no longer with that team.