"So I think that once the position becomes clear, from at least the New Zealand market's perspective, it won't have a lot of impact," he said.
Some commentators have said Britain's exit would result in a slowdown in world economic growth but Bennett said that that would depend on the form of the exit "and that's completely unknown at the moment".
The meltdown on world markets has coincided with the listing of New Zealand media company - NZME - on the NZX and Bennett said he expected trade in the stock to be volatile at first.
"It's great for the market to have another local business listed on the NZX, but also it was well-received by domestic institutions, I understand," Bennett said. "It goes to show that in our market that these sorts of spinouts from Australia are very well received," he said.
"It's listing at a time when there will obviously be some volatility in the market, and - given the nature of carvouts and spinouts - expect to see some changes in the share register over the next few weeks and fund managers to rebalance their portfolios," he said.
"So it will take some time to settle down I would imagine, given those two things, but it is exciting to see NZME listing," he said.
Shares in NZME - publisher of the New Zealand Herald - traded at 85c per share on their debut on the NZX.
NZME split from the parent company APN News and Media after shareholders voted in favour of a demerger plan earlier this month.
Chief executive Michael Boggs said NZME had undergone a substantial transformation process over the past 18 months, with the integration of the company's publishing, radio and digital assets.
"With a new, standalone structure in place, NZME is now well positioned to take advantage of a number of emerging opportunities in digital, data and online media and developing new revenue streams through video, events and experiential," Boggs said.
NZME has initially targeted a dividend payout ratio of 60-80 per cent of its underlying net profit after tax.
NZME chairman Sir John Anderson said NZME is a leading integrated media and entertainment business in New Zealand, operating some of the country's most recognisable publishing, radio and digital brands.
NZME owns the Herald and nzherald.co.nz as well as radio stations, and the e-commerce site GrabOne.
"As a standalone business, NZME can set the agenda as it continues to innovate," he said.
Regulatory and shareholder approval for the split was given earlier this month.
The company is expected to debut on the NZX at 12 noon.