Because this is in the Extensions section of the forums I’m not sure if you’re waiting on an Extension, Organisation approval, or Game Ownership claim approval.
If you’re waiting on an Extension review then you will need to please be patient and wait as there is a queue (although it does seem to be speeding up recently).
If you’re waiting on Org approval, or claiming ownership of a game, please reach out to developers@twitch.tv and include details of your org/game.