In a four-season career, Fallon posted a .216 batting average (61-for-282) with one home run and 21 RBIs in 133 games played. One notable moment in Fallon's career—he was the first batter to face Cincinnati RedspitcherJoe Nuxhall when the then 15-year-old Nuxhall made his major league debut on June 10, 1944. Nuxhall retired Fallon on a groundout.