His promotion will become official Tuesday, when a corresponding 25-man roster move is made.
Godfrey made three starts with the A's, struggling to the tune of a 0-3 record and 5.06 ERA with seven walks in 16 innings, before being optioned to Triple-A on April 21. Since, he's been stellar with the River Cats, going 3-0 with a 1.21 ERA, walking just five and fanning 22 in 29 2/3 innings.
The right-hander will be starting in place of Brandon McCarthy, who was placed on the disabled list Sunday with a strained right shoulder. This will mark his first career appearance against the Angels.