Qatar suffered a heavy 6-0 defeat by Canada in their second Group B game, during which Kone sustained a broken leg following a clumsy second-half tackle from Madibo.
The FIFA Disciplinary Committee imposed a five-match suspension for serious foul play, a decision which is subject to appeal to the FIFA Appeal Committee.
Kone has undergone surgery, and Madibo and Qatar's sports minister visited him in the hospital to check on his health, the Qatar Football Association said.
Qatar plays their final group match against Bosnia and Herzegovina later on Wednesday, and co-hosts Canada take on Switzerland.
