The Crystal Palace winger, who is valued at around £60 million, is a hot property this summer.
Olise can be bought for that figure, which means that all the top clubs in England are interested.
Per The Mirror, Chelsea hope they can beat off interest from the Manchester clubs, Arsenal and Liverpool.
The advantage for City, Liverpool and Arsenal is that Olise wants Champions League football.
He may even be able to settle for the Europa League at Manchester United.
However at Chelsea, he would have to play in the Conference League next term.