The decision by the majority of U.K. voters to leave the European Union (EU) will not affect banking operations, the vice chairman of Barclays told CNBC, adding that the bank had been prepared for the vote.

"This is a political crisis, it is not, fortunately, a financial or economic crisis and although the markets were hit very badly on day on which the results were announced, they bounced back early last week," David Wright said on Tuesday.