Avezzano graduated from Jackson High School in Miami, Florida, in 1961. He played college football at Florida State University, where he was a center. He was drafted and played professionally in the American Football League for the Boston Patriots in 1966. Avezzano wore #50 and played in three regular season games for the Patriots during the 1966 AFL Season. He was also on the 1967 preseason roster of the Pittsburgh Steelers, wearing #50.