Martinez guided the Latics to their first major trophy on Saturday, upsetting Manchester City 1-0 in the FA Cup final.
If their Wembley mission was a tough ask, Wigan's task of surviving in the Premier League was made even more difficult by the results of their rivals on Sunday.
They are four points adrift of Sunderland, who occupy the final position of safety, and with a goal difference 11 worse than the Black Cats anything other than a win at Arsenal will effectively mean they are relegated.
If that was not enough, the Gunners also need the win to climb back into the top four and maintain their unbroken run in the Champions League.
However, Wigan's FA Cup triumph means the players go into the game on an emotional high even if they are physically fatigued and Martinez hopes their Wembley experience will carry them through.
"As a player it is not just winning the FA Cup, which is a unique moment in your career, but it is the manner in which we competed against such a talented team and that gives you great confidence," the Spaniard said.
"What came out on Saturday was all their work over 10 months; it doesn't click into place because it has to - it clicks into place because these players have been performing in this manner for many months.
"We need to take all the positive feelings we have from Saturday into a massive game.
"Physically sometimes you can be drained but emotionally everyone is ready."