Wilshere is on the look out for a new club after opting against staying at the Emirates Stadium, where he would not have been a central figure for new boss Unai Emery moving forward.
The midfielder will not be short of offers with a number of clubs keen to keep him in the Premier League, but he has not ruled out a move abroad either.
"I am willing to go abroad if the right opportunity comes up,' Wilshere said. '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.
"I have played 10 years as a professional there and had 17 years at the club. We are looking at things and I am keeping myself fit. So if something does come up I am ready to go.
"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."