William Lawrence Mueller (November 9, 1920 – October 24, 2001) was a Major League Baseball center fielder who played for the Chicago White Sox in 1942 and 1945. Mueller's career was interrupted while he served in the military during World War II, causing him to miss the 1943 and 1944 seasons. Listed at 6 feet 1.5 inches (1.867 m) and 180 pounds (82 kg), he batted and threw right-handed.