West ham United are said to be considering a move for the Basel midfielder, who is the brother of Arsenal's Granit Xhaka.
Kevin Kilbane criticised the Arsenal man for his penalty concession.
Arsenal and West Ham United went head-to-head this weekend.
The Arsenal midfielder has been impressed by the German since arriving in London.
The Arsenal man has two yellows and a red to his name so far.
The 24-year-old has started six Premier League games for Arsenal.
Xhaka arrived at Arsenal in the summer while Wilshere headed out on loan to Bournemouth.
The Arsenal midfielder won more tackles and more ball recoveries than any other player this weekend.
Xhaka was given the full 90 minutes against Bournemouth and delivered a mixed performance.
The Gunners currently sit fourth in the Premier League table.
The Gunners have several key men on international duty and here is how to keep up with how they are getting on.
Can Arsenal make it five Premier League wins in a row when they take on Burnley this Sunday?
It was a fantastic night for Arsenal's new boys as they put Nottingham Forest to the sword in a 4-0 win at the City Ground.