With the Swans facing Arsenal in Saturday's tea-time kick-off, comparisons have been made between the Spaniard and Ozil, who has quickly established himself as Arsenal's attacking fulcrum since his high-profile arrival from Real Madrid.
Gunners' boss Arsene Wenger even went as far as to put Michu in the same bracket as Dutch hero Bergkamp, who is fondly remembered by fans of the north London club thanks to his magisterial 11-year stint there, during which he registered more than 300 appearances.
Laudrup acknowledges it is a considerable compliment for Wenger, who is celebrating his 17th anniversary in charge of Arsenal this weekend, to compare the two, but the Dane is happy to focus on the unique qualities his bargain £2million signing brings to his team.
He said: "Michu is different to the other players we are talking about. They are smaller players physically, but you always want your players to work between the back four and midfield, in the hole, that's what you want.
"But he scores more goals than a lot of other players who play there. I don't think he's similar in the way he plays, he is a different kind of player, even if he plays the same position.
"People want to compare Michu to a lot of players. Just let Michu be Michu.
"Bergkamp and he are two different players, with Michu's height and physicality he is so important for us.
"I wouldn't compare him to Bergkamp, Ozil or Cazorla, but we're very pleased with what he is doing for us.
"For an Arsenal fan, Bergkamp is a very special player in the history of the club, so to talk about two players like that shows how much Arsene Wenger appreciates what Michu has been doing here for the last 15 months."