Emil Bellaiche, who covers Brondby for Danish newspaper Tipsbladet, said he was surprised Kvistgaarden has chosen a move to Carrow Road.
“It was quite a surprise when Norwich suddenly popped up,” he told BBC Radio Norfolk.
“If Brondby fans had to guess, they would have said he would end up at a bigger club, even though Norwich is a big club.
“He’s been linked with the likes of Eintracht Frankfurt and RB Leipzig, but I think it will be the right thing for him to go to Norwich.”
Kvistgaarden joined Brondby as a 13-year-old and represented his country at all youth levels.
He played for the Under-21s in the recent European Championships at which Denmark were beaten by France at the quarter-final stage.
He will link up again with former teammates Anis Ben Slimane and Oscar Schwartau at Carrow Road.
“They [Kvistgaarden and Schwartau] are probably the biggest two talents in recent years from Brondby so it will be exciting to follow them,” said Bellaiche.
“I would describe Kvistgaarden as an all-round attacker, even though he is not that tall. He used to do gymnastics when he was younger so he’s one of the guys in the Danish league who can jump the highest.”
He continued “He scored quite a lot of headed goals and he’s a very aggressive player. In his younger days he wasn’t as sharp in front of goal but it’s something he has really worked on.”
With Kvistgaarden’s gymnastic prowess, City fans can expect to see some high octane celebrations when the Dane scores.
“He can do all sorts of things, he’ll do a cartwheel and then a backflip. He’s a person who likes to celebrate his goals.” Bellaiche added.