Goeddel, 24, batted .192 in 92 games for the Phillies last season with four homers and 16 RBI.
The Reds also transferred right-hander Anthony DeSclafani to the 60-day disabled list. He opened the season on the disabled list for the second year in a row after suffering a sprained pitching elbow during spring training. Starter Homer Bailey also is on the disabled list, recovering from elbow surgery.
Catcher Devin Mesoraco was sent on a rehabilitation assignment with Double-A Pensacola to complete his recovery from hip surgery. The Reds expect to activate him after he's able to catch games on back-to-back days.