For all the criticism of Everton's poor showing Martinez was adamant his side were worthy winners - something he and opposite number David Moyes were agreed on.
"I think you have to be at your very best at Goodison Park to keep a clean sheet," the Wigan boss added.
"We played well but more importantly we had incredible concentration levels. To score three goals away from home in the manner we have done we always looked a real threat going forward and it was a complete performance and a special day for Wigan.
"You unfortunately get used to people saying if you lose it is because you are Wigan and if you win it is because the opposition was poor.
"They weren't poor. My players deserve credit for how they stopped Everton. We stopped the full-backs going forward and getting crosses in from dangerous positions.
"Attacking we kept the ball and I don't think they gave us anything for us to score three so it is unfair to say Everton had a bad day.
"In the second half they threw everything at us and we coped very well.
"It is more a day of a very good performance from our point of view and a well-deserved semi-final."