The Rangers made the move Tuesday before the first game of their doubleheader against the Los Angeles Angels. Mazara left in the third inning of Monday night's victory with left oblique tightness.
Infielder/outfielder Danny Santana was still sore after leaving Monday's game with left hamstring tightness. He wasn't in the lineup for the first game Tuesday.
Infielder Nick Solak was selected from Triple-A Nashville and was in the starting lineup as the designated hitter for the opener to make his major league debut.
Left-handed pitcher Joe Palumbo was added as the 26th player for the doubleheader and started the opener.