Marko Arnautovic has been left out of West Ham's squad for Saturday's Premier League match against Bournemouth.
The 29-year-old Austria forward has been the subject of a £35m bid from a club in China, and his brother has said he wants to leave.
West Ham, who are not commenting on Arnautovic's omission, have previously stated the player is not for sale.
Manager Manuel Pellegrini said on Thursday that Arnautovic could leave if it was "a good deal for both parties".
But he added: "If I say the player must stay, the player will stay. They are not forcing me to sell Marko Arnautovic."
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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.
Wilshere 'ready for February'
Speaking at his pre-match news conference on Friday, Pellegrini said midfielder Jack Wilshere could be back in action next month.
There were fears the former England midfielder would miss the rest of the season because of an ankle problem.
Wilshere, 27, missed 11 games before December after requiring minor surgery on his left ankle. He made a substitute appearance against Newcastle on 1 December but, after suffering pain his right ankle, has since been resting.
"He is continuing with his six weeks of rest," said Pellegrini.
"He is in treatment and I hope that next week maybe he can start doing some running on the treadmill.
"He will be ready at the beginning of February."
Meanwhile, Grady Diangana - another Hammers midfielder - has signed a new deal until 2025.
The 20-year-old has made 15 first-team appearances and follows defender Declan Rice in committing his future to the club.
"I am very excited to know that my future is here and excited to show the world and the fans at London Stadium what I can do," he said.