Throughout deadline day on Monday, it was claimed that United had agreed to sign the 18-year-old in a big-money deal.
Passport issues will prevent the teenager from formally linking up with United’s first-team squad until the beginning of January.
However, there were reports on Thursday that Traoré was undergoing a medical before the two clubs finalized the transfer.
Traore had been close to agreeing a season-long loan spell with Parma before United put together a package which could potentially reach £37.7m.