Manuel Pellegrini said he hoped Marko Arnautovic would "take the best decision for everyone" after he appeared to wave goodbye to West Ham fans during the 1-0 Premier League win against Arsenal.
Arnautovic has been linked with a move to the Chinese Super League but West Ham released a statement this week insisting the Austria international "is not for sale".
With the Hammers a goal up against Arsenal at London Stadium on Saturday, Arnautovic was replaced after 70 minutes and removed his gloves to wave to all corners of the ground.
And Pellegrini said the club and Arnautovic must work to find a solution that works for all parties.
"We'll see what happens in the next days," Pellegrini told Sky Sports. "It's an issue that the club must see what is the best for him, for the player, for the club, for everyone.
"I hope he will take the best decision for everyone.
"I have been in these situations a lot of times. I have been a manager for about 30 years.
"Big teams want to have the best players but I think we must remain calm about the situation.
"There is nothing 100 per cent sure so we will see in the next days how it develops."
‘I don’t think Liverpool would look at Ollie Watkins, a striker isn’t a pressing issue for them – it’s Arsenal who need one’ Former Reds star explains why his old club don’t need an out-and-out forward this summer
‘He’ll still be playing at 40 at a good level because he’s in such good shape and looks after himself so well. He does everything to be a top professional’: Ex-Liverpool coach insists Mohamed Salah has plenty more miles in the tank
