Though he followed up his rookie year by batting .309 in the second, the Senators traded him to the Chicago White Sox in the 1939 offseason, in a deal for Gee Walker.

Wright played the bulk of his career with the White Sox, recording over 100 hits every year and topping .300 four more times.

[citation needed] Wright's major league career was interrupted by World War II, serving in the United States Army from 1942 to 1945 in the Pacific Theater of Operations.

[citation needed] He was called to military service in August 1942; the White Sox replaced him with Bill Mueller.

[3] While serving as a sergeant during the war, Wright played on several military baseball teams, and was selected as an Army Air Force All-Star in 1945.