The Swans came through qualifying clashes with Malmo and Petrolul Ploiesti to get this far, but there is a definite step up in class against a Valencia outfit with a strong pedigree in European competition.
Los Che start as group favourites, but have made a stuttering start to their Primera Division campaign under new boss Miroslav Djukic, losing three of their first four games, and are currently on their worst run of results since 1999.
Laudrup is confident his side can emerge with a good result in Spain, and feels their wins over the likes of Chelsea, Arsenal, Liverpool and Manchester City since joining the Premier League ranks shows they can take on any side in the tournament.
He said: "I already know we can beat anyone in this competition. We play against teams like Liverpool, Manchester City, Tottenham and Manchester United. Teams at the same level as Valencia.
"So there is no reason why we cannot beat Valencia in a one-off game.
"If you play Valencia or Manchester United in 10 games, you know they will win more than us. But in one game, or two games in the group stage, it is possible.
"It is an away game against the favourite in the group and we can look forward to it with no pressure at all. We have nothing to lose and all to win."
Valencia's sequence of results has piled pressure on Djukic, with rumours of unrest among the Valencia squad.
The Serbian faced Laudrup during their respective playing careers, and was involved in gifting the Dane's Barcelona side the 1994 Primera Division title.
Source: PA
Source: PA