That is the view of Sky Sports pundit and former Arsenal forward Charlie Nicholas.
Gunners boss Arsene Wenger today stated that Sanchez and fellow contract rebel Mesut Ozil will not be leaving the club in the winter transfer window.
If that was the case, the pair could leave Arsenal for free in the summer.
But Nicholas thinks Wenger’s comments should be taken with a pinch of salt.
He can see Sanchez leaving if the likes of Paris Saint-Germain or Real Madrid bid over £20million for him.
“I think you believe him in principle but you don’t know,” Nicholas said.
“If PSG or Real Madrid or somebody’s going to come in and make a bid for Alexis Sanchez, you have to listen to the money.
“Arsenal have got lots of money, but they still have to listen to that.
“I’ve still got a feeling that they’ve got a better chance of re-signing Ozil, if it’s feasible.
“I don’t see another contract for Sanchez but if the right money comes in, £20million, £25million, Arsenal have to think about it.”
Ozil could return to the Arsenal squad for the visit of Huddersfield tomorrow after missing the win over Burnley through illness.
Sanchez is set to start after scoring the late winner against the Clarets.