At 5' 11" and 160 pounds, he was not big, but he made a big impact on American football during the decade of the 1920s. He was particularly known for his drop kicks and punting. In 1924, he recorded a 55 yard drop-kicked field goal and in 1925 holds a tied NFL record (with Al Bloodgood) of 4 drop-kicked field goals in a single game.
In 1926, prompted by a fear that he would sign with the new AFL then being formed, the Cardinals traded him to the Chicago Bears where he continued to carry his team until he retired after the 1929 season.
Driscoll was the 14th head football coach for the Marquette University Golden Eagles located in Milwaukee, Wisconsin and he held that position for four seasons, from 1937 until 1940. His coaching record at Marquette was 10 wins, 23 losses, and 1 tie. Since Marquette has discontinued its football program, this ranks him seventh at Marquette in total wins and 17th at Marquette in winning percentage (.309).
Later, he was head coach of the Chicago Bears for two seasons (1956 and 1957), compiling a record of 14-10-1. Owner George Halas reassumed head coaching duties of the Bears in 1958.