Both Crystal Palace and Fulham are believed to be keen on a deal for the 6ft 7in striker.
The 23-year-old admits he has heard about interest, but concedes he could stay with Brondby.
"I can't really avoid reading about it because everyone keeps asking me about it," Makienok told bold.dk.
"That doesn't make me think that I am going to leave soon. I only listen to the club and my agent.
"It is a good thing to be linked with clubs and that indicates that I'm doing good. But that doesn't mean that something is going to happen. "
Makienok, who has scored 28 goals in 60 games since joining Brondby in 2012, has been advised by his agent to remain in Denmark in the short-term.