He started out with the junior Wexford Raiders and then joined Penn State University's team in the ACHA. He was an all-star several seasons and won the national championship in 2000. He graduated in 2001.
In 2001-02 Eizenman played for HC Bat Yam in Israel. From 2002 to 2005 he played for ASG Tours in France and then returned to Israel to play for HC Haifa. He retired in 2007 after playing in France again.
His brother Oren is a professional player.