The statement reads, "West Ham bought Marko for peanuts".
Shelvey has only made 12 appearances for Newcastle this season and this week went to Barcelona for treatment for a thigh problem.
"I'm a guy who, mentally, I'm really strong, but for maybe the first time in my life, I cried about my career because I thought it was over", Nasri told West Ham's official website.
Arnautovic is wanted by a Chinese Super League side in a £35m deal that threatens to rock West Ham's season.
With three weeks of the window remaining, though, there is a recognition that West Ham will continue to monitor Shelvey's situation and it could be they end up in a position where they can put pressure on Newcastle.
Manuel Pellegrini, the West Ham manager, outlined his determination to keep the Austria forward at the London Stadium but Arnautovic's brother Danijel, who acts as his representative, issued a statement saying that the player wants to leave.
"Yes, the hosts have conceded at least once in their last eight home Premier League games and I would be surprised if the Hammers kept a clean sheet this weekend, but Manuel Pellegrini has never finished on the losing side against Unai Emery in six previous home league games (W4 D2)".
He knows the West Ham fans love him and he has a special connection with them, but things move on, this is the world of sport, and he hopes they can understand. Arnautovic is rumoured to have a £200,000 per-week offer on the table, one that would be hard to turn for a player approaching his 30th birthday. He wants to go to a new market and challenge for titles. At the moment we have no news about him. He will give 100 per cent for West Ham.
Since arriving from Stoke City in summer 2017, Arnautovic has established himself as a key player at West Ham.
"I don't want to talk about things that might happen".
"Marko and all the other players involved in rumours have their heads here", added Pellegrini.
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. I don't think they will go.