Wenger, who failed to finish in the top four for the first time since taking charge in 1996, celebrated with his players in front of the massed red ranks of Arsenal fans at the end.
Antonio Conte came within a whisker of winning the League and Cup double, only for Arsenal to put-paid to his plans, but the Chelsea manager still feels this debut season in England has been a success on the whole.
"The first goal should never have been allowed", he said of Alexis Sanchez's controversial opener for Arsenal at Wembley.
Chelsea were down to 10 men in the 68th minute after Victor Moses was shown a second yellow card, following a dive inside the Arsenal box.
Ozil's future at Arsenal is also a mystery as he has just 12 months remaining on his contract with the Gunners. When asked if he would make a presentation at the board meeting, Wenger replied: "The best presentation?"
"I believe that I just want to do well for this club and apart from that I think it's down to the board members".
I don't know if Wenger can let go - Adams
Diego Costa revived Chelsea in the 76th minute when Arsenal goalkeeper David Ospina failed to keep out his deflected shot. Arsenal even had the luxury of a man advantage from the 68th when Victor Moses received a second yellow card for diving.
If Brazil president goes, here are possible replacements
Demonstrators take part in a protest against Brazil's President Michel Temer in Brasilia , Brazil, Wednesday, May 24, 2017. The demonstration was initially peaceful but clashes broke out as soon as the crowd reached the governmental quarter.
There can be no doubt over Wenger's tremendous loyalty to Arsenal over the past 21 years and perhaps it is the 2017 FA Cup win that will go down as the most significant in his Gunners career.
And Wenger insists he drilled into his players that succeeding against Chelsea was more pertinent than what his own future holds.
"I was delighted for him on Saturday", he told the Guardian. I love to build, I love to get people going and I love what I do.
With Laurent Koscielny, Shkodran Mustafi, Gabriel and Kieran Gibbs all unavailable in a defensive selection crisis, the former Germany global was named in the starting line-up by Arsene Wenger for the first time since April 2016.
"I will only sign for another club in Europe, they know that". The only bit of advice I have for young coaches, if you have a tendency to be paranoid don't do this job.
The Arsenal board meets on Tuesday in the United Kingdom and the fans are likely to know one way or another whether the most successful manager in the club's history will stay put, work alongside a technical director or in fact become technical director himself to work alongside a replacement manager.