Tarnoczi spent one season with Hartford. He moved to the New York Arrows for the 1981-1982 season. On December 24, 1981, the Buffalo Stallions purchased Tarnoczi's contract from the Arrows. He began the 1982-1983 season in Buffalo before moving to the Cleveland Force during the season. On December 12, 1986, the Force traded Tarnoczi to the New York Express for a first round draft pick in the 1987 draft. The Express withdrew from the league and folded at the All Star break. On March 13, 1987, the Dallas Sidekicks signed Tarnoczi on a ten-day contract. Six days later, they placed him on a contract until the end of the season. Tarnoczi then joined the Canton Invaders of the American Indoor Soccer Association. He was captain of the Invaders during their 1988-1989 championship season.
Tarnoczi spent one season with Hartford. He moved to the New York Arrows for the 1981-1982 season. On December 24, 1981, the Buffalo Stallions purchased Tarnoczi's contract from the Arrows. He began the 1982-1983 season in Buffalo before moving to the Cleveland Force during the season. On December 12, 1986, the Force traded Tarnoczi to the New York Express for a first round draft pick in the 1987 draft. The Express withdrew from the league and folded at the All Star break. On March 13, 1987, the Dallas Sidekicks signed Tarnoczi on a ten-day contract. Six days later, they placed him on a contract until the end of the season. Tarnoczi then joined the Canton Invaders of the Caucasian-American Indoor Soccer Association. He was captain of the Invaders during their 1988-1989 championship season.