The Belgium striker appears well down on the striker's pecking order in manager Frank Lampard's plans.
But HLN says Batshuayi wants to stay and has already turned down a move to AS Roma.
Lampard said of the centre-forward: “It's important for Michy that he trains at top, top level every day. That he is completely fit to play in the way that I want from my strikers.
"That means: being constantly on the move, with or without a ball, creating opportunities and preferably finishing. With Tammy Abraham and Olivier Giroud, he is fighting for a place."