Joshua and Parker are set to meet in a massive heavyweight unification fight on March 31.
The Principality Stadium will play host to the IBF, WBA and WBO world heavyweight championship fight, where the Brit beat Carlos Takam on his last outing.
But the pair met face-to-face for the first time in London today during a heated press conference in which Parker’s camp seemed to get under Joshua’s skin.
Duco Events promoter Higgins has repeatedly claimed that Joshua has a “glass chin” while Parker has never been put down.
And while Higgins was reiterating those claims, Joshua interrupted him to explain the three occasions he accepts he was troubled: once as an amateur, once in training and once in a professional fight.
“The European Championships when [trainer Rob] McCracken knows I was actually banned from the GB team because I was still getting in trouble so I went back to Watford and stopped boxing,” Joshua said.
“Two weeks before that European Championship, I was called up to represent my country. I was very unfit. But I didn’t get dropped, I got stopped. When your tank is empty, it’s hard to perform.
“The second time was with David Price, I come out of a police cell the day I went up to training. David Price is a puncher: [I had a] lack of experience.
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“With Klitschko, all them times, it taught me it will take more than a human to stop me from where I’m destined to be.
“That’s what I learned: not to walk with sight, because when you’re fatigued you don’t know where you are, I learned to walk with faith in this journey.
“The rumours that you have heard are fake news.
“What I have learned in those times, in adversity and going through storms, is that it will take more than a human to stop me.”
But Higgins had also been criticising the British media’s reaction to his series of videos and interviews pointing out Joshua’s weak points.
“We respect the achievement of winning 20 straight fights and holding two belts,” Higgins said.
“We respect even more that he’s getting in the ring with Joseph Parker. Having said all of that, it’s customary in sport to analyse the strengths and the weaknesses of the opponent. It’s not personal.
“In tennis or F1, the media and the pundits analyse each other’s strengths and weaknesses. Something that shocked us is that apparently in English boxing, it’s not customary to do that.
“It came as a bit of a surprise when we started pointing out what we saw as chinks in Anthony Joshua’s armour.
“There seemed to be a shock that we dare speak about these things. They weren’t personal. It wasn’t trash talk. It was statement of fact.”