Carolina made the announcement on Wednesday. Goodson injured his hamstring in practice last week.
Goodson had three 100-yard rushing games last season for the Panthers, but was stuck behind a healthy DeAngelo Williams and Jonathan Stewart this year at running back and did not get any carries. He was the team's primary kick returner to start the season, but fumbling issues landed him in coach Ron Rivera's doghouse.
Goodson was replaced on kickoffs by rookie Kealoha Pilares and has been inactive ever since. Still, Goodson had been making improvement in practice before injuring his hamstring.
The Panthers play at Detroit on Sunday.