West Ham manager Manuel Pellegrini says Marko Arnautovic can go to China if the club get a "good deal" - but added they do not want to sell the forward.
The Austrian is the subject of a £35m bid from a Chinese side, thought to be Shanghai SIPG with wages of £200,000 a week over four years on offer.
Arnautovic's brother and agent says the 29-year-old wants to move.
"When you have such a high offer everyone wants to leave, but he has a contract here," said Pellegrini.
"If I say the player must stay, the player will stay - but I think as a manager the best thing is to take the solution that is best for the player and the club, both together.
"If it's a good deal for both parties we will arrange to be without Marko.
"But the club doesn't want to sell him."
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Arnautovic, who has scored seven Premier League goals this season, started West Ham's win over Arsenal on Saturday but waved to the home crowd when he was substituted with 20 minutes to go.
He moved to London Stadium from Stoke in 2017 for a then club record £20m after handing in a transfer request at the Potters. He is under contract with the Hammers until 2022.