Wilfried Bony, Michu and Jonathan de Guzman scored the goals in Swansea’s historic win over Valencia at the Mestalla.
Laudrup said: “It was a fantastic game. Of course a red card early in the game has an influence but in my many years in football I have seen sides go down to 10 at home in these kind of games and still win.
“But we dominated the game from the first minute to the last minute.
“We scored three goals, and before the second we had two or three huge chances to score and it could have been even more.
“I am very pleased about winning here against a big side like Valencia.”
