Sanchez made it clear he will not sign a new deal but Arsenal believe that the cost of selling him would be greater than the profit gained, unless it was for crazy money.
After all, the 28-year-old could be the difference between getting a top four place or not. That is £30m, straight away.
His goals and assists made him priceless to Arsenal last season.
But baggage comes with Sanchez.
There often does with big stars and their egos. They know they are special, can be temperamental, selfish divas and, at times, disruptive.
Some of the other players do not like him, they think he inhibits and damages the team ethic and dressing room spirit.
It’s all about him rather than the team.
Sanchez can be difficult to handle in training, sulk on the pitch and throw a strop if he is substituted.
On one occasion, he was hooked late on and, by the time the game was finished and everyone else came into the dressing room, he was showered, changed and gone.
But try explaining that to a baying mob of fans after the defeat at Liverpool.
Selling Sanchez, Arsenal’s best player, to a rival after insisting all summer that he would not be leaving.
The fact that Manchester City are the only club in the market makes it even more difficult.