He played in Major League Baseball from 1924 through 1935 for the Pittsburgh Pirates, Brooklyn Robins / Dodgers, and Chicago White Sox.

On May 7, 1925, Wright recorded an unassisted triple play against the Cardinals, tagging out Jimmy Cooney and future Hall of Famers Jim Bottomley and Rogers Hornsby.

That same year, he finished fourth in NL MVP voting behind Hornsby, Kiki Cuyler, and George Kelly.

Wright was a member of the 1925 World Series champion Pittsburgh Pirates, homering off Hall of Fame spitballer Stan Coveleski in Game Two.

Considered a premier shortstop of his generation, Wright suffered a major injury to his shoulder in 1929 which plagued him from then on and contributed to his relatively short career.