The midfielder was confirmed on Arsenal’s released list last week, bringing an end to a 17-year spell with the Gunners, his boyhood club.
Wilshere made 197 appearances for Arsenal’s first-team but will always be remembered for an injury-ravaged time at the club.
And, speaking to Sky Sports News, Wilshere admitted he would consider offers from abroad.
He said: “I am willing to go abroad if the right opportunity comes up. Also, everyone knows I like the Premier League and the battle of it.
“It is literally the best thing that comes up and the best opportunity that we will take.
“I am not really in any rush, today [Saturday] is actually my last day with my contract at Arsenal, so it’s been a bit of a strange day.”
Turkish club Fenerbahce are the latest to have a reported interest in Wilshere, along with the likes of West Ham United, Everton and Crystal Palace.
But Wilshere, a 34-time England international, refused to be drawn on any speculation regarding his next club.
He said: “This has been a good opportunity for me to rest and reflect on my life and what I want – I am not going to rush that decision.
“The transfer window finishes early August, so we still have some time and with the World Cup still going on things happen after the World Cup and during.”