Mr Brownless hoped that other team members would be persuaded to join their helmsman in the parade through Tauranga's city centre, together with the cup itself if the Royal New Zealand Yacht Squadron agreed.
The council needed to pick a day in which as many Tauranga residents as possible were able to attend.
"I suspect it will be even bigger than the Olympians parade."
Mr Brownless said Tauranga was a port city and the town where Burling was born and grew up.
"He is a big part of the city's yachting fraternity and his parents Richard and Heather are well known."
Mr Brownless found the races nail biting because of the stunning turnaround in Team New Zealand fortunes four years ago when it looked like the team had all but won the America's Cup.
"Until we had the cup in the bag, it was not in the bag. I was trying hard not to get too excited."
The good thing about the cup being in New Zealand was that the rules would be fair, he said.
The mayor predicted that Tauranga would get good spin-offs if Auckland's inner Waitemata Harbour was chosen for the next defence of the cup in 2021.
The $11.4 million first phase of Tauranga's Marine Precinct would be finished by then, with the facility capable of handling boats up to 350 tonnes using New Zealand's largest vessel hoist.
Land strengthening was under way on the 3.4ha precinct at Sulphur Pt, with the site needing to be lifted by one metre so it was at the required height above sea level for new buildings.
The vessel hoist was almost finished and ready for shipping from Italy to Tauranga for assembly and commissioning.
The council's City Transformation Committee chairman Larry Baldock said bringing the America's Cup back to New Zealand would be great for Tauranga.
"Huge numbers of super yachts come with the cup and we will be better set up to handle the yachts with the travel lift [vessel hoist] in the Marine Precinct," he said.
Mr Baldock said the Marine Precinct would be fabulous once it was up and running and he predicted that people would also be interested in visiting Peter Burling's hometown.