Canzler was designated for assignment last month, when the Indians signed free agent first baseman Mark Reynolds. Canzler could become the Indians' full-time designated hitter if the club doesn't make any more offseason moves.
To make room for Canzler, right-hander Jeanmar Gomez was designated for assignment.
Canzler batted .269 with three homers and 11 RBIs in 26 games last season for Cleveland after spending most of the year at Triple-A Columbus. The 26-year-old batted .265 with 22 homers and 79 RBIs in 130 games for the Clippers.
Gomez opened last season in the Indians' starting rotation, but was sent to the minors June 24 with a 4-7 record and 5.18 ERA. He was recalled Aug. 29.