Prudhomme was born in Frierson, Louisiana. He started his professional baseball career in 1926, with the New England League's Lawrence Merry Macks. That season, he went 19–11 with a 4.79 earned run average and led the league in wins and innings pitched.[2] Prudhomme then played in the International League for a few seasons.[3] In 1928, he went 19–15 with a 3.02 ERA, and this earned him a spot on the Detroit Tigers' roster.
1929 was Prudhomme's only season in the major leagues. He pitched in 34 games, including 6 starts, and went 1–6 with a 6.22 ERA.[1] He returned to the minors in 1930 and his career petered out from there, as he never posted another ERA total under 4.50.[3]
Prudhomme retired with 95 career minor league wins to go along with his lone major league victory. He died in 1992 in Shreveport, Louisiana.[1]