Cleveland released Godley on Monday.
After declining an assignment to the Brewers' Triple-A affiliate when Milwaukee dropped him from its 40-man roster in late June, Godley quickly linked up on a minor-league deal with Cleveland. The 31-year-old right-hander was hoping to parlay a strong showing at Triple-A Columbus into a promotion back to the big leagues, but that never materialized. He was cut loose after posting a 6.00 ERA and 1.71 WHIP in 24 innings over six starts with Columbus.