"Joe likes fighting taller guys. There's no secret about that," Barry said.
"If Joe shows what he's shown me in our training camp we're going to take the referee, the judges and the fans right out of the equation."
Parker feels he will have to force the pressure early against Fury, saying: "The lead-up to this fight has been really long. It's not really anger, it's more; 'okay you're going to get it now. You made me wait for so long so now you're going to be punished for it'.
Asked whether he felt Fury had a good chin, Barry said: "He's got 20 victories and no defeats on his record so the chin has held up pretty good so far. He's never fought anyone like Joseph Parker and I can promise you this; Hughie Fury's whiskers will be tested very early in this fight."
Parker, meanwhile, has followed his usual pre-fight routine by shaving off his beard and getting his hair cut in London. He said his barber was selected following a tip from All Blacks first-five Beauden Barrett. "Look sharp, feel sharp, fight sharp," Parker said.
Parker v Fury at Manchester Arena will be shown in New Zealand live on Sky Arena from 8am on Sunday for $39.95.