Goals from Nacho Monreal and Gervinho saw Arsenal consign the Swans to their second defeat in three games since the trophy triumph in February.
Laudrup believes expectations at the club have grown since the win at Wembley and says whilst Swansea cannot expect regular success they need to do more than just avoid relegation.
"Of course a club like Swansea can't expect to win a trophy every two, four or six years," he told the Daily Mirror. "I read that Arsenal haven’t won a trophy in eight years. David Moyes at Everton - top 10 for how long and they haven’t won a trophy.
"I’ve already told the players, board, the chairman you can’t come back after the vacation, after winning a trophy, and say only avoiding relegation is important. When people get a taste of success they like it. They don’t want to go back. That is very difficult. That is the downside of success.
|SUCCESS FOR SWANSEA?
|66/1||Swansea are 66/1 to win the 2013-14 Europa League with BetVictor|
"It is the same wherever you are. Even if you are a top club, even if you are Manchester United, and win the league, when they come back the first thing Sir Alex Ferguson will say is: ‘it will be hard this year because Chelsea will want to beat you’.
"It will be different here because of the expectations from media, fans, but we have to be realistic. We can't go too high but not too low either. We can aim for more with the team we have and the players that will come in."