"Contrary to this morning's media report and, as I have made clear, I have no present intention to stand down from the Barclays board," Rake said on Friday.
New chairman David Walker has made clear he planned to change non-executive directors as part of a revamp of the board.
Rake, chairman of telecoms company BT Group and airline easyJet, ruled himself out of the running for the chairmanship of Barclays in July, a role he had been favourite to assume.
Barclays lost a number of senior executives, including chief executive Bob Diamond, in the summer following the Libor rate-rigging scandal which engulfed the bank and led to a 290 million pound ($468 million) settlement with regulators in Britain and the United States.