Corry's audience appeared more formal, however.
"Today I was accorded the great privileged of a Private Audience with Queen Elizabeth II, Queen of New Zealand," Corry posted on Twitter.
"I was proud to wear the Ngāi Tahu Korowai to mark this occasion so graciously extended by Her Majesty @RoyalFamily."
The Royal Family also put out a statement on the meeting.
"Mr Bede Corry was received by The Queen via video link this afternoon upon his appointment as High Commissioner for New Zealand in London."
The Queen and Prince Philip, meanwhile, have switched their Christmas plans for the first time in decades and would be spending the holiday season at Windsor Castle, a statement from Buckingham Palace said.
The royal family traditionally celebrates Christmas at the Queen's Sandringham estate in Norfolk, but the pandemic forced them to make big changes.
The Queen, 94, and the Duke of Edinburgh, 99, may be able to see a few family members briefly, but are likely to spend most of the festive celebrations alone.