That is according to his agent and brother, Danijel.
However, the Premier League side are in no mood to lose the 29-year-old, who is the club's joint top-scorer with eight goals this season.
West Ham responded to Arnautovic and his brother by insisting that he is not for sale and said that they expect him to honour his contract which will keep him with the east London club until 2022.
West Ham should be keeping Arnautovic in an ideal world given he's a major presence in attack, but teammates Javier Hernandez, Lucas Perez or Andy Carroll are not putting serious pressure on him for a starting position.
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The statement said: "West Ham bought Marko for peanuts".
The report details that Wilson is in their sights as a potential replacement and they'd have to pay over £35million for the England internatonal, as he's been earmarked for around the £50million mark.
Pellegrini added that the two-time Premier League winner's previous experience sets him in good stead for his return to football with West Ham. He wants to go to a new market and challenge for titles.
"Until he is no longer a West Ham player, he will give everything to the club".
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'It is his great desire that West Ham accept the offer from China'. At the moment we have no news about him.
Pellegrini dismissed Arnautovic's angry reaction to being substituted after 20 minutes of Saturday's FA Cup...
Will be hard to replace but i trust Pellegrini to do it. [tomster36]This whole thing about Arnautovic is annoying!
"They want to continue playing the way they have been so far and I am sure he will have his head in the game against Arsenal". I don't think they will go.
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The Blues are said to be in the hunt for AC Milan striker Gonzalo Higuain and Bournemouth forward Callum Wilson as they look to replace the misfiring Alvaro Morata but former midfielder Steve Sidwell believes Arnautovic could serve as a more cost-effective option for the club. Although after Payet you never know what's round the corner. Marko in this moment is a player of our team, players of his quality and other players like Declan Rice, Felipe Anderson, other clubs will want them but that is one thing.