Swansea were emphatic 3-0 winners at the Mestalla on Thursday as they made a dream start to their Group A campaign by overwhelming the 10-man group favourites, who had defender Adil Rami dismissed in just the 10th minute.
There may have been more important victories in Swansea's 101-year history, but there have been few as eye-catching as their triumph over the two-time Champions League finalists.
But Swansea have very little time to savour their moment of glory, with a trip to Selhurst Park looming quickly on the horizon.
While the Welsh side have excelled in continental competition, their start to the league season has been more difficult courtesy of facing Manchester United, Tottenham and Liverpool during their first four games.
The win in Valencia followed an encouraging display in Monday's 2-2 draw with Liverpool, and to continue that momentum Laudrup knows they cannot dwell on what they have just achieved.
"We have another important game on Sunday in the Premier League, so we have to move on, no matter how great a result this is," he said.
"It's important to be happy about this result, it was a great night, but we already have to think about the game Sunday.
"We cannot enjoy and savour this game for many days because we have to focus on the Premier League game, which is a very difficult away game."
But midfielder De Guzman was happy to take a little time to reflect on a memorable night, the highlight of which was his magnificent curling, dipping 30-year free-kick.
"I don't think if you had asked anyone beforehand what the score would be that they would have gone for that," he said.
"It was a great result for us. The red card had a huge influence on the game. After that we took control and we took our chances when they came.
"They haven't started the season well and they didn't have the confidence they usually have. I know that in the Mestalla the fans will get mad if they don't score early on, they start whistling.
"Maybe it could have been different if they'd had 11 men on the pitch but we took advantage of the red card very well."
Captain Ashley Williams is an injury doubt for the trip to London after the Wales defender was forced to sit out the game at the Mestalla with an ankle problem.
But Laudrup has no worries over Angel Rangel, although he did withdraw the Spaniard early in the second half.
He said: "I don't know whether Ashley will be fit with his ankle.
"We will have to see how he recovers after training on Friday.
"But Angel is not injured, I just wanted to give Dwight Tiendalli a full game.
"With the injury to Neil Taylor we only have three fit full-backs and I wanted to give a rest to Ben Davies and to Angel as well as they have played a lot."
Swansea have won plenty of plaudits for their attractive style of play, which has been compared favourably with that of teams in La Liga.
But Laudrup does not believe their win in Spain will necessarily win them a host of new followers.
"I think the newspapers and the public will talk more about the situation with Valencia in their difficult moment.
"They have lost three games in the league and now they have lost to us in the Europa League and they and the coach are under pressure.
"I think they will talk more about that, rather than about us."