There is at least one precedent this season for a player winning an appeal for an Adderall suspension. Giants running back Andre Brown had his four-game suspension overturned in June after he was able to prove he had a previous prescription for the drug, which is commonly used to treat conditions such as attention deficit disorder and attention deficit hyperactivity disorder.
The NFL and NFLPA closed a loophole in 2011 that had allowed players to produce prescriptions after their suspensions, but apparently Brown was the exception to the new rule. His teammate, safety Tyler Sash, lost his appeal and is currently serving his four-game suspension. He initiated a face-to-face meeting with NFL Commissioner Roger Goodell after his appeal was rejected to plead his case, to no avail.