Following the Glorious Revolution, Mitchell was given command of the which served as Herbert's flagship at the battle of Bantry Bay, and also took part in the battle of Beachy Head. In August 1690, Mitchell was one of four candidates put forward to Queen Mary for promotion to admiral, the others being George Churchill, Matthew Aylmer and Francis Wheler. Not being one of the two chosen, he remained on the "Elizabeth" until given command of Russell's flagship, the , in January 1691. Apart from a four-month sojourn in the winter of 1691, when he was major of the 1st Maritime Regiment, he commanded this ship until January 1693 and led her into the battles of Barfleur and La Hogue.