Speculation has been rife over the former England captain's future after he revealed that he would be leaving LA Galaxy following this weekend's MLS final, with his contract expiring.
But after being linked with a host of clubs, Beckham revealed that he has not spoken with the French club, or the New York Cosmos, a club currently in the American second division.
"I've been hearing the Cosmos thing for the last two or three years," Beckham told reporters. "No, it's not true. My manager has not had conversations on that side. That's definitely not true.
"I heard the Monaco thing on the way to training this morning from my friend in London. He said, 'Are you going to Monaco?' That was the first I heard of that."
The French side were relegated in 2011 following 35 years in Ligue 1 and chief executive Karlsen believes that signing someone with the reputation of Beckham would help restore his side to their former glory.
"We are happy with our current squad," the official, whose side are currently top of the French second tier, told BBC Sport.
|1/2||Monaco are 1/2 with PaddyPower to be promoted from Ligue 2 as champions|
"I understand he's high in demand but it's natural for a player with his experience and quality. Let's see what the next few weeks bring.
"It's a privilege to be linked with world-renowned players like Beckham. We're an ambitious club and our president is committed to bringing the club back to where it used it be - to the elite of French football.
"To achieve such a goal we have to keep an open mind when experienced and extraordinarily talented footballers become available."