Godoy was assigned to minor-league camp Monday.
Godoy signed a minor-league contract with the Rangers on Monday that includes an invitation to spring training.
Godoy cleared waivers Monday and accepted an outright assignment to Triple-A Norfolk.
Godoy was optioned to Triple-A Norfolk on Tuesday, Roch Kubatko of MASNSports.com reports.
Baltimore selected Godoy's contract from Triple-A Norfolk on Sunday.
The Yankees traded Godoy to the Orioles on Friday.
Godoy signed a minor-league contract Wednesday with the Yankees.
Godoy was released Tuesday by the Angels.
Godoy signed a minor-league contract with the Angels on Saturday.
Godoy was designated for assignment by the Pirates on Tuesday.