Goudeau was released by the Tigers on Thursday.
Goudeau signed a minor-league contract with the Tigers on Tuesday and received an invitation to major-league spring training.
The Rockies outrighted Goudeau to Triple-A Albuquerque on Sunday.
Goudeau was designated for assignment by the Rockies on Friday.
Goudeau was optioned to Triple-A Albuquerque on Monday, Patrick Saunders of The Denver Post reports.
Goudeau was recalled from Triple-A Albuquerque on Saturday, Nick Groke of The Athletic reports.
Goudeau was returned to Triple-A Albuquerque on Saturday.
Goudeau was optioned to Triple-A Albuquerque on Friday but is serving as the 27th man during Saturday's doubleheader against the Nationals, Danielle Allentuck of The Denver Gazette reports.