Wilfried Bony netted a brace on his Swansea debut while Michu and Alejandro Pozuelo added others at the Liberty Stadium.
And Laudrup said: "We had five new players, we need some time for everyone to get to know each other but if we win 4-0 in a game like this with a lot of people not knowing each other yet - then it's not too bad.
"It's a perfect night. Four goals, not conceding any away goals, two goals from the new man Bony, Michu is back scoring a goal, Pozuelo got a goal in his first game for the club, no injuries - it's perfect."
And Bony, who scored twice, added: "I feel good but the most important thing was to win this game and not concede a goal.
"It's very good for us, we can enjoy tonight and then think about the next game."