The Germany international was left out of the Gunners squad for their 1-0 Premier League defeat to Sheffield United on Monday and was again dropped for Thursday’s Europa League win over Vitoria.
But former United midfielder Scholes believes that the 31-year-old could be just the kind of player Ole Gunnar Solskjaer’s side needs.
"Man United could do with someone like Ozil who can link a team together,” he told BT Sport.
"[He is] a player who can link teams together. He has got great quality, he's shown that in his career.
"He could be an answer short-term, I don't know. I think that would be up to him, ultimately.
"I can't [see it happening], but he's the type of player, short-term, who United could do with."
He also featured in the 5-0 win over Nottingham Forest in the League Cup, when he was handed the captain’s armband, but has otherwise been overlooked this term.
The German has a contract in north London until June 2021.
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