Wilshere spent last season on loan at Bournemouth, where he made 27 appearances for the south-coast club.
The England worldwide is now moving into the final 12 months of his contract with no sign of a new deal on the horizon.
To this point in the summer, it has been unclear as to whether Wilshere, who has been linked with moves to a number of Premier League and Serie A sides, is in the short or long-term plans of Gunners boss Arsene Wenger.More news: Hingis hails 'amazing' Venus Williams for reaching final at 37
Compare his reported £9 million cost with that of Alexis Sanchez, another Arsenal player in the final year of his deal but is reported to be worth £80 million, according to Steve Stammers and Simon Mullock of the Mirror.
Wilshere was ruled out of Arsenal's pre-season tour after his recovery took longer than anticipated which may have killed his chances of staying in England.
The England global made 29 Premier League appearances for the Cherries, but his progress was cut short by a fractured leg he suffered in April. I will give you a very focused answer on that, that he has to work hard to come back and fight for a place in the team.