Haaland will have a £63m release clause in his BVB contract next summer, and a recent report claimed that Rangnick has been instructed to bring the Norway international to Old Trafford.
However, the new Man United interim manager has branded such suggestions "nonsense", although he has confirmed that he was involved in the 21-year-old's move from Molde to Red Bull Salzburg in 2019.
"This is nonsense obviously. There is no such clause in my contract. It doesn't make sense to speculate over any new players. Erling Haaland is a fantastic striker. I know best myself because I was together with the people at RB Salzburg at the time.
"I was also a little bit involved with the move [Haaland's] from Molde to Salzburg therefore I know what kind of player he is, but in the meantime, the whole world has realised how good the player is. Two years ago, it was only a few people who believed.
"I'm more than happy. The offensive players we have here, we have so many top players in the offensive department that we don't need to speak about any other players."