Jes Staley, Barclays chief executive, said the lender plans to stay "anchored in Great Britain".
"Right now we are not making any plans to pick up and move people from one location to another," he told the BBC.
But he added that the bank wants to be "involved in the capital markets globally" and to "stay connected to the European capital markets".
"You might have to increase your presence in another location, that doesn't necessarily mean you have to decrease your location here," he added. .
Meanwhile, HSBC chairman Douglas Flint has told a conference that the bank is also staying put.