Wenger, if all goes according to plan, will sign a new two-year contract at the club's board meeting on Tuesday.
Premier League champions Chelsea were the overwhelming favourites to beat London rivals Arsenal in the FA Cup final and complete a league and cup double success for Antonio Conte in his first season at the Bridge.
The Frenchman's new two-year deal is set to be confirmed today, coming despite months of fan protests at the team's below-par performances in the Premier League and the Champions League.
"I'm proud having done this - winning the championship without losing and winning seven FA Cups", Wenger said.
Wenger and club owner Stan Kroenke met on Monday to determine the Frenchman's future, with the decision relayed to directors at a board meeting on Monday.
With Arsenal's defence ravaged by injury and suspension, Gunners boss Arsene Wenger handed Mertesacker his first appearance in the starting line-up for 392 days in Saturday's Wembley showpiece against Chelsea. "Sometimes I think it could be tiredness", Conte said.
Even Ian Wright, who has often been critical of Wenger this season, has now said that the Board really have no choice but to keep him on for at least one more campaign to pinpoint a proper replacement, although he is not so sure that Wenger will accept.
You put your Arsene Wenger in, Arsene Wenger out, in, out, in, out, shake it all about.
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The Wenger debate has divided the club's supporters this season, creating what Wenger describes as a "hostile" environment which has effected his players.
Chelsea's 10-men still managed to equalise when Diego Costa cancelled out Alexis Sanchez's controversial early opener on 76 minutes, but Aaron Ramsey's header quickly secured Arsenal's record 13th FA Cup triumph.
"But when a game starts you support your team".
"You have to say it couldn't have gone much better for us".
"I just trained, always with the same focus and mentality because in football things change quickly".
"But, at Arsenal, he's got total dominance". I love to build, I love to get people going and I love what I do.
"I've played until the end of my contract".
Not only should Arsene Wenger's future finally be decided, but there are plenty of other issues to be discussed as well - some of which could have a major impact on the entire club's future.