At 68, it may end up being Wenger who decides when he leaves the club.
Whatever is achieved between now and 2019, though, it is expected that Wenger will leave the club and pursue pastures new, as he will be nearly 70 by then.
Asked whether he could manage at the 2022 World Cup, the Frenchman added: "Maybe, maybe on the bench..."
For now, Wenger says he enjoys the constant interaction and work that comes with managing at a club rather than global level, so he is likely to see out his contract at Arsenal.
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"Four or five weeks, it's a different experience, it's more concentrated. But until now I've liked to be involved every day in the life of a club, because the real test is there", he said.
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.
Arsenal are now sixth in the table, 12 points behind leaders Manchester City, and face Tottenham in a massive north London derby this weekend.
This season, not much has changed. "I will stay in football of course".
His current contract expires in the summer of 2020 and CEO Ferran Soriano and Sporting Director Tixiki Begiristain are keen to tie him down after wrapping up deals for David Silva and Kevin De Bruyne. Ozil is expected to sign a new deal while Sanchez looks likely to join league leader Manchester City.