The contract dispute went to arbitration, with Garr winning to become the highest paid player on the team, and the first player in major league history to double his salary through arbitration. Despite an excellent spring, and going into the season with confidence, Garr's average dipped to .278 in 1975. He did, however, lead the league in triples (11) for a second year in a row. He and Larvell Blanks were traded to the Chicago White Sox for Ken Henderson, Dick Ruthven and Dan Osborn on December 12, 1975. Disarray was something of a theme for the White Sox as Jorge Orta, the second baseman with the 1975 team Chuck Tanner managed was used at third and left field in 1976 by new manager Paul Richards. Likewise, Garr's role with the Chisox in 1976 was similar to the one he had with the Braves in 1972; he had no regular outfield position, and his playing time was split evenly between all three outfield spots. The formula proved unsuccessful as the Sox narrowly avoided a hundred losses in 1976. For his part, Garr batted an even .300, and was second on the team to Orta with 63 runs scored. Bob Lemon replaced Richards at the helm in , returning Orta to second base, and returning Garr to left field. The Chisox did a complete 180 that year as they won ninety games to finish third in the American League West. Garr batted an even .300 for the second year in a row, while improving substantially in every other offensive category. His fielding also improved as he logged a career high .987 fielding percentage. Garr had an off year in , putting up career lows in just about every offensive category. His notoriously bad fielding was also becoming an issue again. He and pitcher Francisco Barrios became embroiled in a fight on August 10, following a loss to the Toronto Blue Jays, over an incident in their August 7 match-up with the Kansas City Royals. With Barrios pitching, Garr threw a ball he fielded off the wall to the wrong base, allowing a runner to score. It was the second run-in between the two. Garr started the season in left field, but shortly after Tony La Russa replaced Don Kessinger as White Sox manager, Garr was replaced by a revolving door of left fielders, with Alan Bannister, Thad Bosley, Junior Moore and Wayne Nordhagen all manning the position at one point or another. Rumors circulated that it was by Garr's choice; he refused to take the field following an August 5 rock concert held at Comiskey Park that left the field in tattered condition (American League President Lee MacPhail actually canceled games at Comiskey later in the month due to the poor conditions of the outfield).