Corridon entered the majors in 1904 with the Chicago Cubs, appearing for them in 24 games before joining the Philadelphia Phillies (1904–1905, 1907–1909) and St. Louis Cardinals (1910). His most productive season came with the 1907 Phillies, when he posted career-numbers in wins (18), starts (32), complete games (23) and innings pitched (274.0), while collecting a 2.46 ERA. He finished 14–10 with a 2.51 ERA the next season, and went 11–7 with a career-high 2.11 in 1909. He faded to 6–14 with the Cardinals in 1910, his last major league season.
In a six-year career, Corridon posted a 70–67 record with a 2.80 ERA in 180 appearances, including 140 starts, 99 complete games, 10 shutouts, seven saves and 1216.0 innings of work, posting a 1.22 strikeout-to-walk ratio (458-to-375).