The Mets released Godley on Monday, Steve Adams of MLBTradeRumors.com reports.
Godley's stint in the Mets organization lasted just three weeks. He made four appearances for Triple-A Syracuse, compiling a 2.33 ERA and 1.09 WHIP over 19.1 innings. He's now been cut loose from three organizations in the past two months after previously getting released by Milwaukee and Cleveland.