Career
Signed by the Chicago White Sox as an amateur free agent in 1986, Craig made his Major League debut on April 13, 1990 and played 12 seasons for the Chicago White Sox (1990–1995), Florida Marlins (1996), Anaheim Angels (1997), Toronto Blue Jays (1998–2000), and the Boston Red Sox (2001) before his retirement. He was mainly used as a backup in his career. Known for not wearing batting gloves, Grebeck hit.261, 19 home runs, 187 RBIs, and 518 hits in 752 major league games.
Craig hit his first major league home run off of Hall of Famer Nolan Ryan, who then proceeded to plunk Grebeck in his ribs in his very next at-bat, breaking a rib.