Did Hawke still seek command at sea?

Did Edward Hawke still seek sea command after becoming a full admiral?

Yes. He served at sea as a full admiral and later wanted to combine senior Admiralty office with command of the largest fleet.

Hawke did go to sea after becoming a full admiral in 1757. Even during his later Admiralty leadership, he wanted to combine senior office with command of the largest fleet. His appetite for active operations persisted after promotion and victory. Eighteenth-century senior naval administration could remain closely connected to aspirations for operational command.