Red Sox president of baseball operations Dave Dombrowski made the announcement Thursday after the winter meeting draft.
The Red Sox designated Cecchini for assignment on Dec. 4. The 24-year-old Cecchini appeared in two games for the Red Sox this season. The left-handed batter hit .213 with seven homers and 28 RBIs in 117 games for Triple-A Pawtucket.
Cecchini was a fourth-round selection by Boston in the 2010 amateur draft.