After considering offers from Don Monson at Idaho and Mike Montgomery at Montana, both in the Big Sky Conference Stockton decided to stay in Spokane and play college basketball for Dan Fitzgerald at Gonzaga University. He became the third generation in his family at GU; grandfather Houston Stockton was a well-known football player for the Bulldogs in the 1920s. Fitzgerald was also the athletic director; he stepped away from coaching for four years after Stockton's freshman year and promoted assistant Jay Hillock to head coach.