Aaron Ramsey scored an extra-time winner at Wembley on Saturday to defeat Hull City 3-2, with the Gunners having gone two down inside the first eight minutes, sealing the north Londoners' first trophy in nine years.
Wilshere feels that triumph is just reward for the supporters who have stuck by the team through their infamous barren run.
|10/1||Arsenal are 10/1 with Bet365 to win the Premier League in 2014-15|
"We've worked hard and the manager has worked hard but, most of all, this is for the fans who fill the stadium every week. This one is for them.
"It was a bad start [in the final]. We've done that a few times this season and been punished but we knew, if we got a goal before half-time, we could go on and win it.
"We're a fit team and we've got quality as well. That's a good mixture and we showed that. We had a hard run [to reach the final] as well so you can't say that we didn't deserve it. We showed the character that we've shown all season in the final and fair play to the boys.
"Now that we have got the first hurdle out of the way hopefully it will give us a boost for the seasons to come.
"We've shown character for the last couple of years but [Saturday] was a testament to the players. We overcame a big hurdle and we're very proud of that. We're very proud of how far we came in the competition and we did it for all these people."