Laudrup's Swans were beaten 1-0 at the Emirates Stadium in their third round FA Cup replay and although he was full of praise for his defence, he felt the Gunners played well enough to move through to the next round.
"The first half was very even, they had a bit more of the ball but we were at the same level," he said.
"In the second half they were the better team, they deserved the win and good luck in the competition. They created chances and pushed us back, we defended great but we couldn't get out of there.
"It was nice to see Michel Vorm back at his best and we blocked a couple of big chances. They had one or two where you say 'How did they miss that?', and then they scored with a few minutes left. Last time (in the 2-2 draw) it was us, this time it was them."