Joshua and Parker are set for a blockbuster heavyweight unification bout in Cardiff on March 31.
Watch the Anthony Joshua vs Joseph Parker world heavyweight title unification fight, from Principality Stadium, Cardiff, on March 31, live and exclusive om Sky Sports Box Office.
Parker's camp even produced a video of clips and interviews giving what they said was "proof" of a number of times Joshua has been knocked down or hurt in fights or sparring. And the world is about to find out whether A.J. can really take a punch. It takes a lot more to get to me now.
The world heavyweight title holders met face to face at the presser with both men obviously confident of victory, with the feelings not being just restricted to the fighters but also to the promoters Eddie Hearn and the colourful David Higgins of Duco Events. I know his weaknesses and he thinks he knows my weaknesses. You know me. I love this game.
Someone is going to get knocked out.
Higgins said he had "killed a few birds with one stone" by promoting the fight and Parker by pointing out Joshua's frailties. "You just said he might have some mental weaknesses, but you said (before) he HAS mental weaknesses".
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"A couple of months ago, I heard him say: 'Why should I be anxious about this little kid from New Zealand?' Well, now he's about to find out and the world is about to find out whether AJ can really take a punch".
"I have a big challenge in front of me in Joshua" he said. "It's a shame that people get caught up with that sort of thing".
Higgins held firm to his claims, warning Joshua that his fighter stood an undeniable chance of an upset win and defending him against a dismissive British media.
"Accusations like this used to happen to Klitschko a lot - when I used to watch him - they used to disrespect him a lot of the time about his style and performance, they used to say other things about him".
"We pay something like £30,000 every fight to make sure the fighters are tested".
"The last three or four fights we have been test eight times in camp by UKAD and WADA over a 12-week period".
But Fury, whose backdated two-year ban for testing positive to elevated levels of nandrolene ended last month, now has to confirm a fight against a top-five ranked fighter for April or risk losing the Ring belt.