Kone, a 19-year-old Mali international, was involved in a head collision in the penalty box at the Lamb Ground.
He was attended to for 15 minutes on the pitch before being taken off on a stretcher with a mask on his face.
The game was initially suspended, and later abandoned, due to the seriousness of Kone's injury.
Manchester United has confirmed that Kone is conscious, stable, and communicating with the club's medical team.
As a precaution, he has been taken to hospital for further checks, and the club wishes him a speedy recovery.
Tamworth has also expressed their concern for Kone's well-being and has wished him a speedy recovery, while also apologizing for the inconvenience caused by the abandoned game.
