Davidson, 27, was batting .243 with 11 home runs and 28 RBIs in 42 games. He started 27 games at designated hitter, with eight at third base and five at first. He hasn't played since May 22 before he went on the DL with back spasms.
Gonzalez, 25, went 1-9 with one RBI in three games with the White Sox after his contract was purchased from Charlotte on May 24. He recorded his first major league hit Sunday against Milwaukee, a game-tying RBI single off Brent Suter in the fifth inning.
Skole, 28, went 3-11 with one home run, one RBI and two runs scored in four games. Skole became the sixth player in team history to homer in his first major league game, against Cleveland on May 28.
Chicago is scheduled for a doubleheader Tuesday at Minnesota.