In 1957, his first year in Chicago, López's White Sox won 90 games and finished in second place behind the Yankees while the Indians suffered through a losing season. Chicago again finished second in 1958, but finally broke through and won the American League pennant in 1959, losing to the Los Angeles Dodgers in the World Series. By this time, Lopez was very well respected and in-demand manager, and in the middle of the 1960 season, a friend of New York Yankees president Dan Topping told an Associated Press reporter that López would replace Yankees manager Casey Stengel. (Stengel had managed López years earlier when López was a catcher for Brooklyn and Boston.) Despite rumored and confirmed inquiries from other teams, López stayed with Chicago until 1965, finishing in second place five times and never posting fewer than 82 wins.
Lopez was the manager of the Cleveland Indians and had just led them to the World Series when the city of Tampa built a new minor league and spring training ballpark. It was named Al López Field, and the date of the dedication ceremony (October 6, 1954) was declared "Al López Day" in the city of Tampa. The Chicago White Sox were the ballpark's first spring training tenants, and when Lopez became the new White Sox manager in 1957, he had the unusual honor for several seasons of managing home games in his hometown in a ballpark named after himself. Later in life, López would recall a spring training incident in which an umpire with whom he was arguing threatened to throw him out of a game there. "You can't throw me out of this ballpark", protested Lopez, "This is my ballpark – Al López Field!" The umpire ejected him anyway, causing Lopez to exclaim, "He threw me out of my own ballpark!"