Cleveland also optioned outfielder Tyler Holt to Triple-A and promoted outfielder Abraham Almonte from the same affiliate on Saturday.
The 24-year-old Anderson debuted on June 21 after the Indians had already cycled through TJ House, Zach McAllister, Bruce Chen and Shaun Marcum as back-end rotation options. The big right-hander enjoyed an incredible start to his career, spinning a 0.89 ERA with a .165 opponents' average in his first four starts (30 1/3 innings).