He played all or parts of 11 seasons in Major League Baseball for the Cleveland Indians, San Diego Padres, Atlanta Braves, New York Yankees, and Baltimore Orioles, primarily as a starting pitcher.

Wright graduated from Katella High School in Anaheim, where he also played quarterback and linebacker for the football team.

[1] The Cleveland Indians selected Wright in the first round, with the 10th overall pick, of the 1994 Major League Baseball draft.

In the deciding seventh game of the 1997 World Series, the Indians opted to start Wright over the more experienced Charles Nagy.

[5] Wright became the Braves best pitcher that season, going 15–8 with a 3.28 ERA in 32 starts while amassing 159 strikeouts in 186+1⁄3 innings pitched.

[8] Wright's shoulder problems returned in the 2007 season and caused him to spend time on the disabled list twice;[9] he did make three starts in April, each five innings or less, but lost all three of them and accumulated a 6.97 ERA.

Wright had started a rehab assignment in September and after 3 games he decided to go home ending the rest of the season.

[10] On January 23, 2008, Wright signed a minor league contract with the Pittsburgh Pirates, which included an invitation to spring training.