Thompson managed the design of Jacks Point, Clearwater Resort, The Hills and Windross Farm in Auckland.
The plan is to showcase the natural environment with an inland links-style course.
Quinn said Grant Aitken, of Queenstown, convinced him it would be a good thing for Cromwell and Highlands members.
"It wasn't my idea," Quinn said.
"I've never been interested in golf. It doesn't help that I'm useless at it.
"It's succession planning. When our members get too old to drive cars, they can hop in a golf cart and play 18 holes."
Quinn said when he first visited Cromwell to view the motorsport park land, the mountains reminded him of the Scottish Highlands in his home country, where golf originated.
Highlands is a major Central Otago tourism attraction. Its track experiences, museum, go-karts and other offerings draw motorheads, tourists, tour groups and conference and incentive groups. Quinn said the course would complement the motorsport park and be a "beautiful spot" to build a home.
"Golf tourism has overtaken the ski business in Central Otago and people come to Queenstown for a week and they play at Millbrook, The Hills and Jacks Point.
"Golfers like to play a different course every day and we can offer something very special.
"They can come to Highlands and play golf in the morning. They can have lunch in the cafe, have a drive around the track and do the wine-tasting experience in the museum in the afternoon.
"We can offer them the full package."
The course is aimed at the high-end tourist dollar, and the 100 residential sections will offer fairway views in the foothills of Bannockburn.
All residents will get golf course membership while existing Highlands members, and those of Auckland's Hampton Downs, also owned by Quinn, will enjoy the benefits of the golf resort.