Francis Joseph Barrett (July 1, 1913 – March 6, 1998) was an American baseball player. He was a relief pitcher for the St. Louis Cardinals, Boston Red Sox, Boston Braves, and Pittsburgh Pirates.
In five seasons, Barrett had a win–loss record of 15–17 in 104 games, two of them starts. He finished 67 games, compiling 12 saves, 2172⁄3 innings pitched, 211 hits allowed, 100 runs allowed, 85 earned runs allowed, 8 home runs allowed, 90 walks, 90 strikeouts, 8 wild pitches, 924 batters faced and a 3.51 ERA.
Afterwards, Barrett coached and managed n the Minor Leagues.