Trammell was appointed to the solicitor's office in Washington, D.C., on October 11, 1920, and then appointed to the United States Board of Tax Appeals in 1924.The Judge Advocate Journal, No. 6 (October 1950), p. 30. He was one of the original twelve members appointed to the Board, and one of a group of five appointed "from the Bureau of Internal Revenue".Harold Dubroff and Brant J. Hellwig, U.S. Tax Court: an Historical Analysis (2015). Trammel was a cousin of United States Senator Park Trammell, of Florida, a fact that complicated his appointment to the board."Tax Appeal Board Is Placed In Peril By Senate Delay", The Brooklyn Daily Eagle (June 6, 1926), p. 4.
