Francis Joseph Mulroney (April 8, 1903 – November 11, 1985) was a relief pitcher in Major League Baseball who played briefly for the Boston Red Sox during the 1930 season. Listed at 6 ft 0 in (1.83 m), 170 lb., Mulroney batted and threw right-handed. A native of Mallard, Iowa, he attended University of Iowa.
Mulroney posted a 0–1 record with a 3.00 ERA and two strikeouts in two relief appearances, allowing one run and three hits in 3.0 innings of work without saves.
Mulroney died at the age of 82 in Aberdeen, Washington.