Arsenal eventually ran out 2-1 winners against the ten-men Blues, who were outplayed for large swathes of the afternoon.
Fabregas had been introduced in place of Nemanja Matic just after the hour mark, with the Spain worldwide unhappy to have been given a watching brief beforehand.
"I think obviously when he went inside there was a moment when I sort of went to go for the ball, and then I thought he might just be a little bit ahead of me so I chose to pull out and not go for it. I was playing very well and the team was winning, scoring a lot of goals and defending well". "This season we were champions and we want to start next season like champions".
That was followed by a planned board meeting on Tuesday where the decision for the veteran coach to stay was shared with the rest of the club hierarchy.
"I think this season has been hurt by some dip in March and I am convinced now, having looked back again at the season, we were hurt by the uncertainty about my future with the players", Wenger said. I don't know what that means. It is between him and me.
The Frenchman stopped short of clarifying his situation in the wake of Saturday's 2-0 win, saying only that he believes he is still the best man for the job.
Wenger, who has been in charge at Arsenal for 21 years, is yet to reveal whether he will sign an extension to the contract that expires at the end of the season.
Watch on as Arsenal lift their 13th FA Cup trophy, as Aaron Ramsey's late goal proved to be the decisive goal vs. Chelsea.
Arsenal produced their best performance for years and Mertesacker said that the high level the team reached was testament to Wenger's continued management of the club.
Gazidis, the chief executive, has pushed his "catalyst for change" agenda over the past three months or so as he feels certain structures around the manager have to change and improve.
"It is still a good season".
Former Arsenal defender Tony Adams has asked Arsene Wenger not to spoil his legacy by staying on at the Emirates, and wondered if the Frenchman can "let go" at the club.
"I think it's a special day for a football club... and it should be a great night, it's just the explosion of the passion of people".
"They scored and it made it very hard because we were exhausted, the pitch is big and they have good passers of the ball".