Despite less than 72 hours earlier demolishing Valencia at the Mestalla, the Welsh side showed no sign of a Europa League hangover as they eased to a 2-0 win at Selhurst Park.
Palace were left chasing shadows from the outset, with Michu's strike after 80 seconds followed by a Nathan Dyer effort moments into the second half.
It could - and should - have been a much larger margin of victory for Swansea, with that the only frustration for manager Laudrup after the match.
However, following Monday's hard-fought draw with Liverpool and the win in Spain, the Dane's overriding emotion was pride after the win.
"It has been a fantastic week," Laudrup said. "Before the start, I thought this particularly would be the most difficult game because it was on the back of Liverpool and Valencia.
"This was the third game in only six days, with the travelling and all that. You have to play an away game here against a different type of football, more direct.
"I thought this was going to be the most difficult game, so I am really pleased with what the players did.
"It always helps when you score in the first minute, but even so you have to play over 90 minutes. I thought we really dominated the game from the first to the last second.
"The only thing is, we should have scored more goals because we had the chances to score five or six like we had on Thursday, but it is of course difficult not to be pleased when you win 3-0 and 2-0 in just three days."