Laudrup also revealed he did not intend to make wholesale changes to the backroom staff at the Liberty Stadium or bring in a host of new players.
The 48-year-old former Barcelona and Real Madrid midfielder said: "I didn't know so much (about Swansea), to be honest.
"I think the research is very important. If I had done some more research in former jobs I might have taken some other decisions," added Laudrup, who has also coached Getafe, Spartak Moscow and Real Mallorca.
"The people I talked to were very positive (about Swansea). People said 'Michael it would be a good club for you'."
Laudrup, who won 104 caps for Denmark, revealed he would not be making changes in a hurry.
"I would like a new beginning, to come in and see how things are here. Change for change's sake, I don't think that is good."
Laudrup would not be drawn over midfielder Gylfi Sigurdsson, who performed well on loan at Swansea from German club Hoffenheim last season.
Swansea hope to sign the Iceland international midfielder on a permanent basis but Rodgers has admitted he would like to take him to Liverpool.
Laudrup said: "It's a special case. He was on loan here and did very well.
"He has a possibility to go to another club. He is owned by a German club. I would like him to stay, he did very well here."
Laudrup revealed he had spoken to chairman Huw Jenkins at length about the possibility of making new signings.
"To sign seven or eight players does not make sense," he added.
Jenkins said Laudrup's pedigree had been a big factor in the club bringing him in as the new manager.
He said: We're delighted to have somebody with Michael's background. It's great for us as a club that Michael has joined us.
"The most important thing is finding the right person with the personality to forge the right sort of relationship.
"We are really looking forward to taking the club forward and carrying on the good work we have done in the last two years."
Jamaica is in need of a win against the U.S. Get the jersey of the Reggae Boyz.
Barcelona will wear this new home soccer jersey next season. They also have a new away jersey. Get them both.
Support the USA national team with an official 2013 Centennial soccer jersey from Nike. Its Official.
Manchester City will try and win back the Premier League title with this new soccer jersey from Nike!
The Nike Hypervenom is the latest cleat silo from Nike. It will change your game and is worn by the game's top players.
England will debut their new away jersey against Brazil at the Maracana Stadium on Sunday. Get in the Gear
The USA will wear their blue away jersey against Jamaica in their World Cup qualifier on Friday night.
Neymar's move from Santos to Barcelona is no doubt the biggest summer transfer.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
The hoop soccer jersey is classic and cool. The USA hooped jersey is perfect for every fan. Get in the Gear.