Rumours the 49-year-old former Denmark star would leave the Swans in the off-season gathered pace when his agent Bayram Tutumlu fell out with the club.
In the event, Jose Mourinho returned to Stamford Bridge for a second spell and Laudrup remained with the Welsh club - but the latter has now lifted the lid on the events of the summer.
Laudrup, who handed 18-year-old midfielder Pau Morer professional terms on Wednesday, told Portuguese newspaper A Bola: "Someone tried to know my availability through intermediaries, but there was nothing concrete.
"Also, I had given my word that I would be in Swansea."
Meanwhile, Laudrup has been praised by Swansea forward Michu, whose club form since joining in the summer of 2012 has earned him his first call-up for Spain.
The 27-year-old striker said: "It's because of Michael Laudrup that I am here. He is one of the best managers I have ever worked with in my life.
"I feel like I am annoying Juan Mata as I am always asking him about the training and the new experience.
"Mata is helping me a lot, I know him very well. I can't describe the feeling when I went into the pitch wearing the shirt of the best team of the world.
"But it is very easy to play with all these players. The players who are in the squad are the best in the world and they're at the maximum level."
I wanted him to replace Fergie to be honest. However after the events of the last week I would like to see Januzaj installed as player-manager.- bun9