The Latics have engineered remarkable escapes in each of the last two seasons and gave themselves a big chance of adding another this term by coming from behind twice to beat West Brom 3-2 at The Hawthorns.
Callum McManaman was the match-winner, sealing the points 10 minutes from time after superb play by the electric Shaun Maloney.
Prior to that, Arouna Kone and James McArthur twice drew Wigan level following goals from Shane Long and Gareth McAuley.
The win left Martinez's side still two points from safety with three games to go, but he only had eyes for the positives.
Wigan could, of course, end the season with a trophy if they can upset Manchester City in the FA Cup final, but Martinez thinks survival is as good as any silverware.
"We don't just escape. As a football club we win the title every time we stay in the league," he said.
"It's a different approach. Any other club fights to avoid something or fears to lose something; we don't. We don't fight to avoid relegation. It's not a negative - it's the opposite.
"We are still involved in two major competitions - the league and the cup - and we are ready to win both trophies.
"We showed today we have a big club mentality in these players."