Hennessy made the far-fetched claim that Fury's performance was close to those of Muhammad Ali, one of the finest boxers in history.
Parker, now 24-0, understandably disagreed: "He put up a good fight".
Parker continued his winning streak and gained victory over the cousin of Tyson Fury via majority decision [MD] after 12 rounds of enticing contest, thereby retaining his belt for the second time since winning it in December 2016.
Parker claimed the vacant heavyweight title in December a year ago after beating Andy Ruiz Jr. before defending it against Razvan Cojanu in May.
For nine rounds of last nights fight between Joseph Parker and Hughie Fury, a portion of the richest prize in sport hung tantalisingly within the grasp of both men but neither was willing to reach out and grab it.
Parker also failed to establish his usually potent jab, and instead went looking for a couple of big shots to end the fight early. A few flicking jabs from Fury, Parker double jabbing to the body and then following with an assault to the head with his overhand right.
"I'm going to shock the world and prove all my doubters wrong and what better place to do it than in my home city of Manchester. He did move well and he was really awkward but I felt we won the fight".
Fury recently begged the boxing hierarchy to provide him a fair hearing, stating ban him for life or end the matter altogether, rather than letting it hang in the balance.
On paper, which is a fantasy fight destination that can often provide a glimmer of hope for British boxers in lost causes, Campbell's task on Saturday night was even more hard than the one Fury had to overcome. But Parker walked right through it.
WBO world heavyweight champion Joseph Parker says he can "bring out the weaknesses" in Anthony Joshua in a unification bout.
Parker opened up a bit more in the eighth round and stepped up the pace in the ninth when a flurry of punches and an overhand right found the target.
"This is letdown. When you've out that amount of work in, if you're going to win and take someone's record, win properly".
Hollow victory - the critics were unimpressed with Joseph Parker.