He can play. = He is able to play.
He cannot play. = He is unable to play.
He must not play. = He is forbidden to play. He is prohibited from playing.
He must play. = He is compelled/forced/obliged to play. He has to play.
He should play. = He is advised to play. or He is likely/expected/supposed to play. It is probable that he will.
He may play. = He is allowed to play. or He is ??? to play. It is possible that he will.
Is there an ordinary verb, an adjective, or a past participle, which can replace 'may/might' in a sentence that has a personal noun or pronoun, and not the preparatory 'it' as subject?