The respect between Fury's camp and Parker has been clear for months since the fight was made, with the 25-year-old also on good terms with Hughie's cousin, Tyson, the former lineal champion. That cordiality isn't the norm - the Furys have made their disdain of Joshua and Wilder quite clear.
Some of that could be due to the fact that they couldn't agree terms to fight former Olympian Joshua, but Hughie said it was because Parker himself was respectful and not prone to getting ahead of himself.
Parker's record and the fact that he has fought what many believe to be tougher opposition than Joshua and Wilder is another factor.
"He's a fighting man," Hughie Fury said.
"He's a respectful person. I look at Joseph Parker and you can see he's a nice lad so when you get people like that in this sport, there's no point disrespecting is there?
He's a fighting man and we're both here to do our job."
The Furys, who have delayed their arrival to New Zealand until a fortnight before the fight, are used to big occasions following Tyson's surprise victory over Klitschko two years ago.
Hughie has an excellent training partner in Tyson, who is returning to the sport following his mental health and drug issues, which saw him relinquish his world titles.
Success against Parker for the 22-year-old and similarly undefeated Hughie, would bring the WBO belt back to the family. "It's what we've always been in boxing for, to achieve our dreams ... I'm almost there and I am going to do 100 per cent and bring that title back.
"There's no doubts in my mind whatsoever so, like dad [and trainer Peter] said, Joseph's got to knock me out and he's going to find that very hard. We are very confident in what we do and the strengths and the ability of what we've got."