In 30 games with Cleveland, Gonzalez hit .210 with two home runs and seven runs batted in.
Reports say that Gonzalez will play in Triple-A Iowa for a few games before he is called up to the Major League roster.
Gonzalez played 10 seasons with the Colorado Rockies, putting up a .290 career average with 227 homers and 749 runs batted in.
He won a batting title with the Rockies, hitting .336 in 2010. Gonzalez has won three Gold Glove awards in his career while making three three All-Star appearances.