"I don't think anybody knows who Parker is over here outside of the hardcore boxing fraternity but in time, they will. I don't think Parker really wants AJ now because I think it's too early for him.
"Everybody is targeting Joshua because he's the money man of the division. It's great news. They'll all get their chance. They'll all get their shot. It's just that we can't fight nine people on the same night."
Parker, 24, is on a similar trajectory to the 26-year-old Joshua, who won a gold medal in the super heavyweight division at the 2012 Olympics in London.
Both are undefeated, with Parker boasting an 18-0 professional record and Joshua 15-0. Joshua's TKO victory over Whyte in London in December was a significant one because the undefeated Whyte was a big step up and hurt Joshua early in the fight, raising questions about his chin.
Bergman, a southpaw who provided a sterner than expected test against Parker in Apia, caught the south Aucklander flush with a left-hand lead in the first round but it appeared to have little effect.
Parker is ranked by four organisations - as high as third by the WBO - with Joshua ranked as high as second by the WBC and WBO.
Fury is the WBO and WBA champion, with David Haye returning from a shoulder recently to convincingly stop Croatia-based Australian Mark de Mori, the British heavyweight scene as dominant, if not more so, than the American market.
Parker's performance in Apia, while a little untidy at times against an awkward opponent, earned praise from respected boxing writer Dan Rafael, who wrote on his ESPN blog: "It was a dominant performance from Parker, who looms as a possible future force in the wide-open heavyweight division."
Parker's next fight is in Christchurch on April 17.