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Parker said yesterday: "I'm young, fast, strong, my movement is good. I have a great team behind me, I have a nation behind me – two nations – and I'm going to represent, so that's what I have."
Meanwhile Italian Giuseppe Quartarone has been confirmed as the referee for the world heavyweight unification fight.
The Cardiff bout on April 1 will be his second world heavyweight title fight. He oversaw Alexander Povetkin's WBA title victory over Cedric Boswell in 2011.
The three judges for the fight will be from New Zealand, the United Kingdom and the United States.
"We're very happy with the officials that have been appointed," Barry told Sky Sports.
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"We've got an Italian referee. We signed off on those officials [at the beginning of March]. We're very happy with what the various sanctioning bodies have appointed for us."