Some fans at the Emirates Stadium wanted to see the 2016/17 season be Wenger's last after failing to qualify for the Champions League, but the Frenchman signed a new two-year deal.
For now, Wenger says he enjoys the constant interaction and work that comes with managing at a club rather than worldwide level, so he is likely to see out his contract at Arsenal.
And in an interview with beIN Sports, per the Mirror, the Arsenal manager refused to rule out a move into worldwide management for his next move. Four or five weeks [in a tournament] is a different experience, it is more concentrated.
Wenger has never managed at an global level, coaching instead at four clubs from Nancy to Arsenal.
Wenger is the only manager to have led a team to an unbeaten Premier League campaign, with his "Invincibles" side achieving the feat en route to winning the title in the 2003-04 season.
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He added: "I believe the real experience to manage a team is on a daily basis".
However, City's large squad means he has started just six Premier League games this term so could be tempted by more regular football in north London.
Sanchez whose current contract expires at the end of the season can leave for free next summer, though City are keen to land the Chilean for a cut-price in the New Year.
"I haven't decided that but it is a fact that my life is linked with football".
"As a director, manager, I will be a manager as long as possible, but i will stay involved", Wenger said.
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