The 1-0 win means Wigan are safe for another season.
"It doesn't seem real yet," Martinez said. "It’s a great feeling because you could feel the tension and it was a cagey affair. To do that and to keep a clean sheet - to have that and what it means is incredible. Eight years in the Premier League.
"It's been a great run but football is about the players. It's very easy to say the right things but what matters is when you cross the white line to be brave and arrogant.
"All I do is allow them to enjoy their football and the credit goes to the players. You get really high pressure. We've been in the bottom three for a long time. They made the football club proud and the chairman proud."