Mata also picked up the man-of-the-match award in the 2-1 win over Liverpool to cap a dream maiden final for the Spain star.
The summer signing from Valencia watched Ashley Cole lift the cup for the seventh time, John Terry pick up a fifth winner's medal and the likes of Frank Lampard, Didier Drogba and Petr Cech celebrate a fourth Wembley triumph.
Mata said: "Of course, it's very important for us, that experience, to have players like Didi, Lamps, Petr Cech, Ashley Cole, JT.
"They've played a lot of games here, a lot of finals.
"As well, we have young players like me.
"It's my first FA Cup and I wish to win four or five like them."
The 24-year-old, who has arguably been Chelsea's player of the season, added: "It was an amazing day for me.
"It's my first year here, my first season, my first title with Chelsea.
"I really enjoyed the game, the atmosphere at Wembley - one of the best stadiums in the world, and I'm very happy."
Despite his outstanding personal displays, Mata looked set for an unhappy first season in English football until Roberto Di Matteo replaced sacked manager Andre Villas-Boas two months ago.
But he could now be part of the most glorious campaign in Chelsea's history, with the Champions League final still to come on May 19.
"We won the first final and we have another great chance to win another title, the most important in Europe, and we are all looking forward to playing this game," Mata said.
"It hasn't been an easy season for us in the Premier League, with the change of manager and everything.
"We were still fighting for a title, we achieved this one, and we have the possibility to win both.
"Chelsea never give up."