Zlatan Ibrahimovic scored 17 goals across 28 league appearances last season.
Ibrahimovic picked up an untimely injury during a Europa League clash with Anderlecht in April.
"There was not a new contract, but there was a space of time for everybody to think, feel and decide".
He said: "Ibrahimovic? In life, never say never".
The Swedish international is out with a cruciate ligament injury, and was released by the Red Devils at the end of his contract. The club know you can affect in a positive way the structure, you can affect in a positive way the people that work around you.
Not long after, he compared himself to King Kong, in an incredibly ripped selfie. But he will surely be keen for another crack at the Premier League should the chance arise. He has been training with United and if the latest reports are anything to go by then he has decided to sign for the club again.
For United, he'd be a brilliant acquisition in a problem position. Luke Shaw will miss the opening month of the season through injury - leaving Daley Blind to most likely feature, although Matteo Darmian looms large.
Questions have been asked of Lukaku's big-game temperament despite his prolific record during a four-season stay at Goodison Park.
United fans have every right to be optimistic. After being linked to clubs in Mexico and Argentina, he has reportedly agreed to terms with Besiktas, but so far, the Turkish club are struggling to pay Inter's asking price. He could still be an asset as a result.
Paul Parker has warned Manchester United signing Romelu Lukaku that he will have to change his playing style to be a success under Jose Mourinho. "Can we win it?"