Goody signed a contract Monday with the Long Island Ducks of the independent Atlantic League of Professional Baseball.
Goody signed a minor-league contract with the Yankees on Tuesday, Conor Foley of The Scranton Times-Tribune reports.
Goody signed a minor-league contract with the Nationals on Tuesday, freelance baseball writer Byron Kerr reports.
Goody was released by the Yankees on Sunday, Bryan Hoch of MLB.com reports.
The Yankees announced Wednesday that Goody signed a minor-league contract with the organization that includes an invitation to big-league spring training.
Goody was designated for assignment by the Rangers on Thursday.
Goody (0-2) allowed three runs on three hits while making it through just one-third of an inning Wednesday, as the Rangers fell to the Diamondbacks 7-3.
Goody will start the first game of Saturday's doubleheader against the Athletics.
Goody (back) was activated from the injured list Wednesday.
Goody was placed on the 10-day injured list Wednesday with back spasms.