Laudrup played for Real Madrid and Barcelona during his playing career, becoming one of the few players to move between the two when he swapped Catalonia for the Spanish capital.
"I have never offered myself to any team, I have never done it. I would never do this to a colleague," he claimed in an email sent to Danish agency, 'Ritzau'.
According to reports on Wednesday from 'Telemadrid', the former Getafe, Swansea and Mallorca manager put himself in touch with the Madrid board, making his case to be Lopetegui's replacement.
Now 54, Laudrup called the Bernabeu his home between 1994 and 1996, but he is without a team at the moment after leaving Qatari outfit Al Rayyan last May.
"I myself will reveal if I decide to manage again," he added.
Considered one of the greatest players of his generation on his retirement, Laudrup begain his career in the dugout as assistant of the Danish national side in 2000. From there he moved to Brondy, winning the league and the cup, before spells at Getafe, Spartak Moscow, Mallorca, Swansea, Lekhwiya and Al Rayann.
As well as time spent in LaLiga, he also played at Juventus and Lazio, and is frequently linked with becoming the Danish manager.