Schofield was with the 1993 World Series champion Blue Jays, although did not play in the postseason after missing the bulk of the regular season when he suffered a bad break to his upper right arm.
On August 29, 1986, Schofield hit a walk-off grand slam home run against the Detroit Tigers to give the Angels a 13–12 victory and culminate an eight-run rally in the last of the ninth inning.
On April 12, 1992, Schofield was traded by the Angels to the New York Mets for Julio Valera and a player to be named later who would be minor league pitcher Julian Vasquez.
He signed with the Angels on August 4th after an injury to their all-star shortstop Gary DiSarcina during the team's postseason push.
Schofield moved into affiliated ball in 2002 as manager for the South Bend Silver Hawks in the Arizona Diamondbacks chain.
He moved to the Cincinnati Reds chain as a hitting coach for the Pensacola Blue Wahoos in 2013 and managed the Billings Mustangs in 2014-2015.