Foxhall Alexander Parker Sr. was an officer in the United States Navy. He was Commander-in-Chief of the East India Squadron, commanded the Home Squadron, and was commander of the USS Constitution.

The East India Squadron, or East Indies Squadron, was a squadron of American ships that existed in the nineteenth century. It focused on protecting American interests in the Far East, while the Pacific Squadron concentrated on the western coasts of the Americas and the South Pacific Ocean. Its duties included the Yangtze River Patrol in China. The East India Squadron was established in 1835 and existed until it became part of the Asiatic Squadron in 1868.