The Rays, who announced the roster move prior to Sunday's game, have not announced whether Myers will miss more than the minimum 15 days.
Myers, the American League Rookie of the Year in 2013, has struggled this season, batting .227 with five home runs and 25 RBIs in just 53 games.
Outfielder Jerry Sands, who has not played in the majors since 2012, was promoted from Triple-A Durham to replace Myers and will bat cleanup Sunday in Tampa Bay's starting lineup.
Sands, 26, had nine homers and 36 RBIs in 54 games with Durham this season. He appeared in 70 games with the Los Angeles Dodgers in 2011 and 2012.