With the White Sox, Tanner managed such star players as Wilbur Wood, Carlos May, Bill Melton, and the temperamental Dick Allen. His most successful season with the Sox came in 1972, when he managed them to a close second-place finish behind the eventual World Series champion Oakland Athletics in the American League (AL) Western Division. The pitching staff was led by 24-game winner Wood, whom Tanner had converted from a reliever to a starter. Tanner was voted that year's The Sporting News Manager of the Year Award. He also converted Rich "Goose" Gossage from a starting pitcher to a reliever, a role that would lead Gossage to the Hall of Fame. He finished his White Sox career with a record of 401 wins and 414 losses. Tanner was replaced by Paul Richards on December 17, 1975. Bill Veeck, who had repurchased the White Sox, invited Tanner to remain in the organization in a different capacity, but the offer was declined. Tanner still had to be paid $60,000 in each of three remaining years of his White Sox contract.