Private aviation businesses have remained resolute despite the uncertainty surrounding the U.K's decision to leave the European Union, with two industry insiders detailing to CNBC how their firms will deal with the impacts that a so-called Brexit could cause.

"London has been a business hub for three or four hundred years, so its importance is not just going to go away," VistaJet Founder and Chairman Thomas Flohr told CNBC.

The effects of the referendum had an obvious and instant effect on aviation when larger carriers easyJet, Lufthansa and IAG all suffered double-digit falls in share value. That was seen as a reflection of weaker U.K. demand and a concern over the existing "open skies" agreement which allows unlimited access to airlines across the continent.

However, it was equally unclear for private aviation with concerns arising over access, increased taxes and additional red tape.

VistaJet provides fixed price seat access on its fleet of more than 50 Bombardier private jets.

Thomas Flohr told CNBC that he flew to London the day after the vote to assure his U.K. team that the London location will remain important.

"We have put in place an internally dedicated Brexit team to look at every aspect and to communicate with the different constituencies to make sure we are well prepared for what exactly will be coming," he said.

Flohr said if forced to move his firm's hub to continental Europe it wouldn't have any negative impact on how VistaJet is perceived.

"I think the brand will continue to be what it is whether we are landing in Paris, Frankfurt New York or London," he said.

Flohr told CNBC that revenues in his business were currently "booming" as companies are presently reluctant to put a $50 million plane on their own balance sheet.