The 25-year-old spent last season on loan at Bournemouth after falling out of favour with the Gunners – which led many to believe that his career at the Emirates Stadium would come to an end this summer.
Many reports throughout the transfer window have been linking West Ham with a move for the England international as Slaven Bilic continues to look for quality additions to his Hammers squad.
And it seems that any hopes of signing Wilshere have been boosted after Arsene Wenger admitted he could let the midfielder leave the club to look for more game time.
He told the official Gunners website: “That decision is not completely made, I want him to have a chance to play somewhere as well. We have to decide that a bit later.
“I wanted first for him to come back, he is coming out of a fracture. It is the first week he is back in full training and we have to sit down together and see where we go from there.”
Wilshere is recovering from a broken leg he suffered while playing for Bournemouth against Tottenham towards the end of last season – and only has one year left on his current Arsenal contract.