Swansea created a number of chances especially after conceding the first goal to Alvaro Negredo after eight minutes.
Jonjo Shelvey had two attempts from distance before Jonathan de Guzman missed a great chance moments before the break.
Speaking to Sky Sports after the game, Laudrup refused to let the result dampen his spirits.
Laudrup said: "It may be strange to stand here after losing 3-0 to Man City and say we did so many good things today.
"I think the first half we played really great, we kept the ball and we did it in a very good way.
"In midfield we pressed forward and Shelvey had two shots before de Guzman missed a great chance for us.
"But we know when we play against players like this that some of them can just create a chance or a goal out of nothing and that's what we saw in the second half when Nasri scored the second and third goals."
Swansea thought they might have had a penalty in the first period when Martin Demichelis pulled back Pablo Hernandez in the penalty area, but Laudrup would not be drawn on the incident.
He added: "We are not that lucky recently. We've had a couple of those but I don't want to get into a discussion about the referee."