The midfielder, who spent last season on loan at Bournemouth, will be out of contract at the end of the season and has yet to hear anything from his manager.
Wenger praised Wilshere's performance after that match at the London Stadium, with the playmaker looking sharp and bright in midfield.
The 26-year-old has been one of Arsenal's star performers this season; chipping in with an impressive three goals and six assists in 14 English Premier League games.
"I don't know yet", Wenger said.
"I should have hit the target, there's no denying that and on another day I probably would have if it was on my left", Wilshere told Arsenal Player.
Arsene Wenger has made it clear he sees the England international's future at the Emirates and has dismissed the idea of him leaving when the transfer window opens next month.
Governors push for federal share of gateway project
A spokesman for the department's Federal Transit Administration didn't immediately respond to a request for comment Thursday. The transit agency will pay for its portion by implementing a per-passenger trip charge for all its rail riders.
"If he comes back into form I'd play him for the rest of the season because he has that little extra bit of quality".
The Sky Sports pundit said: "Personally, I want him to stay because his talent belongs at Arsenal".
Wenger started the match without summer (and record) signing, Alexandre Lacazette and Ian Wright, Arsenal's second greatest ever goalscorer, couldn't understand it.
Arsenal have suffered defeats at Stoke, Liverpool, Watford and Manchester City whilst dropping points at Chelsea, Southampton and West Ham.
Obviously I'd take Rafa over the likes of McClaren, but atm he's getting it wrong and people are deluded if they think the blame lies with anyone other than Rafa.
Arsenal have only had a longer Premier League winning run against Manchester City (11 between August 1994 and September 2004) than their current run of nine against Newcastle. Jacob Murphy has harshly had to revert to the substitutes bench, but will be hoping for a chance, much like Rolando Aarons, who is yet to start a league game this season.