After shakedown off Cuba, "Glennon" sailed from Boston, Massachusetts on 12 February 1946 for Europe and visited many of the nations washed by the North Sea before returning to New York in August of the same year. Undergoing upkeep at Boston and overhaul at Newport, Rhode Island, "Glennon" conducted refresher training out of Guantanamo Bay during April and May 1947. For the next 12 months she engaged in a rigorous schedule of tactics along the New England coast and down the eastern seaboard to ports of Florida. In February and March 1948 she took part in combat fleet exercises and maneuvers in waters ranging from Cuba to Trinidad and the Panama Canal.