Wilshere is out of contract at the Emirates at the end of the season, and is set to sign a new deal, fuelling speculation he could be on his way out of North London having fallen out of favour with manager Arsene Wenger.
The Englishman was shipped out on-loan to Bournemouth last season, however after returning to Arsenal in the summer has failed to establish himself as a regular in the first-team.
As well as Moyes admitting his interest, former England U21 manager Ray Wilkins believes it would be a solid signing for the Hammers.
The pundit said on TalkSPORT: “I think 25 years of age, I don’t know how much you’d have to pay, but because Arsene doesn’t play him, he needs to move. I’d love to see him play, because I think he could get to the World Cup. I’d snap him up all day long, I really would.
The Claret and Blue army seem delighted with the latest rumours linking them with Wilshere …
be so good for us and linking up with lanzini !!!!!
— ken oldfield (@KJO59) December 13, 2017
— Chrisdelgooner (@chrisdelgooner) December 13, 2017
Moyes doing wonders
— Sam Krueger ⚒ (@SamKrueger_) December 13, 2017
It would be a fabulous move for him, Moyes could rebuild around him!
— MemphisFlash (@MemphisFlash365) December 13, 2017
Well he is West Ham through and through, time for him to come home.
— Bradders (@bradleyjames22) December 13, 2017
Take him in a heartbeat
— Phil nicholls (@Philnicholls24H) December 13, 2017
I take him for sure. Top player.
— Kevin Skinner (@KevinSkinner8) December 13, 2017