A late goal from Cristiano Ronaldo proved the difference between the two sides and earned the Seleccao passage to the semi-finals, where they will tackle either Spain or France, who face off on Saturday.
Pepe is thrilled to see his side progress to the last-four stage and revealed that his team-mates are prepared to take on either La Roja or Les Bleus.
"We secured an important victory, which puts us in the semi-finals," he told reporters after the game.
"Spain or France? We do not have any preference. Those are two great teams. We are waiting for them. I hope I will play well in that game and that we reach the final."
|GOING ALL THE WAY?
|9/2||Portugal are 9/2 to win Euro 2012 outright with bet365|
"Criticism makes us grow," he said. "The important thing is that we know we have the capacity to go as far as possible. That is how we have always approached this tournament.
"We have always felt the support of the Portuguese people. We are a small country, but with many qualities.
"We have shown that we are a strong footballing country and we have a statement to make in this competition."
Portugal's semi-final contest is scheduled for Wednesday, June 27 in Donetsk.