"New York Times technology and finance reporter Nathaniel Popper, author of  “Digital Gold: Bitcoin and the Inside Story of the Misfits and Millionaires Trying to Reinvent Money,” noted that a permissioned blockchain could be jointly run by the computers of the largest banks and serve as the backbone for a new, instant payment system without a single point of failure. The new blockchain, decentralized but closed, would offer the benefits of the current Bitcoin network without relying on end-users for its operations."

www.coindesk.com/bbva-blockchain-tech-could-replace-centralised-finance-system/

Note that a "permissioned blockchain" is just about what it means to have a Bitcoin protocol and client.