Eisenhoffer, a convert to Judaism, began his football career when he signed with Budapest TC in 1912. He was twelve at the time. In 1917, he moved to Kispest A.C. where he played three seasons. In 1920, he transferred to Ferencvárosi where he played until 1924, with a loan to Makkabi des Brno during the 1923–1924 season. In 1924, he transferred to the prominent Austrian Jewish club Hakoah Vienna. In 1926, Hakoah toured the United States. Several players were impressed by both the relatively high pay and low anti-Semitism there. Consequently, several, including Eisenhoffer, remained in the U.S. and signed with local clubs. In June 1926, Nat Agar, owner of the American Soccer League’s Brooklyn Wanderers, signed Eisenhoffer. He would play for most of five seasons, except for five games in 1929. In 1928, the ASL initiated a struggle with the United States Soccer Federation for control of football in the U.S. This conflict, known as the "Soccer War" led to the USFA declaring the ASL an "outlaw league". When that happened, Eisenhoffer had already played eight games in the 1928–1929 season, but then jumped to the New York Hakoah of the fully recognized Eastern Professional Soccer League. New York Hakoah won the 1929 National Challenge Cup with Eisenhoffer scoring one goal in the first leg victory over St. Louis Madison Kennel. When the ASL made peace with USFA in 1929, New York Hakoah entered the ASL. Eisenhoffer now found himself back in a league he had fled and with a contract still in force with the Wanderers. Agar promptly sued Eisenoffer for breach of contract. In the meantime, Eisenhoffer played five games with Hokoah in the ASL. In December 1929, the suit was withdrawn and Eisenhoffer was fined $500 and allowed to return to the Wanderers. This internecine battle ultimately destroyed the ASL and in 1931, it collapsed. Eisenhoffer left the U.S. and returned to Austria where he signed with Hakoah Vienna. In 1933, Vienna sent him to French Ligue 1 club Olympique de Marseille where he finished his career. Eisenhoffer experienced considerable success with Olympique, going to the 1934, 1935 and 1940 French Cup. While Olympique lost in 1934, it won the next year. In 1935, Eisenhoffer became the team's manager as well as a player and took Olympique to the 1936–1937 league title. He also managed RC Lens briefly in 1938 before returning to Olympique. He finished his career with one game with Olympique during the 1940–1941 season. In 1944, he was wounded in an air raid on Budapest. His wound was not treated and eventually led to his death.