The Red Devils are still in the process of deciding the future of Erik ten Hag.
The Dutchman was expected to get the sack, but may have bought himself another season with the FA Cup final win over Manchester City.
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Per The Mail, De Zerbi has joined the likes of Thomas Frank, Mauricio Pochettino, and Kieran McKenna in the running for the job.
United are said to have been discussing the issue of Ten Hag's future internally.
A decision is expected to come in the next week or two, with De Zerbi now added into the mix of possible new managers.