Manchester United announced their third January departure on Wednesday, while three more players could leave Old Trafford before the window closes.
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The Red Devils confirmed that Odion Ighalo's loan deal has ended, with the player set to return to Shanghai Greenland Shenhua.
"They're still part of our club, part of the squad, training well," he said when asked about Jesse Lingard and Brandon Williams' futures, as quoted by Manchester Evening News.
"No deal has been struck for any players yet going out, there is still a little period left, of course. There have been many clubs interested in our players, so let's see what happens.
"For me, it's also important to take our wishes and our plans into consideration, but the players, of course, are Manchester United people and players through and through."
According to The Athletic journalist David Ornstein, United have agreed a £1 million (R21 million) fee with West Ham United for the loan of Lingard, while it is understood that Facundo Pellistri is also close to going out on loan.
"There have been talks and quite a few clubs interested in Facundo to go out on loan, and maybe it's something we'll let him do," Solskjaer said.
"We want him to have football at a high level."
Percy Tau's former Belgium club Club Brugge are believed to be the frontrunners for the youngster's signature.
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