Arum, who has more than 30 fighters on his books, including six world champions, will turn 85 on December 8, two days before the fight at the Vector Arena.
He will have an early birthday party with family and friends - celebrities Judge Judy and Bette Midler commiserated with him over the election result last night - before having another in New Zealand. This will be the first time he has visited.
Asked if he was surprised about the rise of 24-year-old Parker given the relatively small population of the country, he said: "I'm not surprised at all. I follow sports and one of them is rugby. I see all of those big strong New Zealand players who have dominated the game for many years.
"Years ago I did a lot of boxing events in South Africa. That was a big rivalry, the Springboks v the All Blacks. I'm familiar with New Zealand sportsmen, and particularly the bigger guys. If I'm surprised about anything it's that you haven't had more top-notch heavyweights over the years."
Arum has been active on social media regarding his support of Hillary Clinton, and was happy to reveal the extent of his disappointment over the election of Trump.
"You cannot believe what a bummer I'm on today with the results of this election," he said. "I don't know, I'm looking at Canada, I'm looking at New Zealand, any place that doesn't have a wall.
"This is a man that's ill equipped to be president, but as an American I just have to hope we pull together and survive the next four years. To say that I'm despondent really only touches the surface. I'm devastated with the result of the election last night.
"We have to hope for the best. Our country has been through worse things. We went through a civil war and after losing a lot of lives we came out stronger. The US is very, very resilient, and hopefully will survive a Donald Trump presidency."