He is flourishing here in London, a rapidly maturing 26-year-old who is comfortable as a champion and determined to stay that way in every respect.
Parker's movement, timing and speed looks superb in training, his elbows delivering without pain the power from his heavily muscled shoulders, and he looks sharp out of the ring. He plains to wear yet another tailored suit (he has been sent three from New Zealand from one of his sponsors) to the press conference.
"I back myself," he said. "I haven't got a care in the world. I just want to get in there and show who I am. I'm a lot more comfortable now."
Parker aims to make tomorrow difficult for Joshua. The New Zealander and his promoter David Higgins have warned the 28-year-old to arrive at the press conference, scheduled to start at midnight Tuesday NZT, on time or else they will start without him.
It is a gambit brilliant in its simplicity and potentially deadly in its execution; turn up on time and Joshua appears to be following the orders of Parker and Higgins, turn up late as usual and he is being "disrespectful" and must make an awkward entrance to his own press conference.
Parker said: "He has a track record of turning up late to press conferences and a few things, so I think we'll put pressure on him to show up on time and be professional. I think if he doesn't show up on time we'll start at 12."
To get the day's top sports stories in your inbox, sign up to our newsletter here