"I don't know how to take that," Aucklander Parker told Sky Sports.
"I might have to be 'Superman' or 'Batman' or something. I don't know? Have to be more than human? I don't know what more you can be?
"He was rattled with what David was saying. For him to defend himself, shows that he didn't like what was coming his way. I don't think he really takes criticism that well."
Parker wants to take Joshua's best shots with a grin.
"If he hits me in the chin and doesn't hurt me then obviously I'll smile and try my best to hit him back," he said.
"I think some fighters when they throw a punch and throw everything they have and it doesn't affect the other person, it might crush them a bit.
"In boxing, some fighters have good chins. You just have to be persistent and continue following the plan and trying to catch them nicely, and obviously hope to be knocking him out."