The 23-year-old joined Arsenal in a £16 million deal on deadline day, while United secured Radamel Falcao from Monaco as his replacement on a lucrative season-long loan.
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"We have spoken with Danny Welbeck and also Chicharito before we had the chance to can get Falcao,” the Dutchman told reporters.
"I have given all the players a chance to convince me of their qualities. Danny Welbeck was here when he was nine.
"He played here for three seasons after Sunderland, but he doesn’t have the record of Van Persie or Rooney and that is the standard. That is why we let him go, because of Falcao, but also the youngsters who can fit in."