Born in Sauce, Corrientes, Lazzarini moved from Argentina to the Paraguayan city of Pilar where he played for local Club America in 1972. In 1974, he was transferred to Olimpia Asunción and afterwards he played for various clubs such as River Plate (Asunción), Libertad and Cruz Azul of Mexico before returning to Olimpia in 1979, year in which the team won the Copa Libertadores. He then played in 1980 for LDU Quito and came back to Paraguay in 1982 to play for Cerro Porteño of Presidente Franco to put an end to his career. Since Lazzarini acquired to Paraguayan citizenship at a young age, he was able to play a twelve matches for the Paraguay national football team.

In 2010, Lazzarini died following a long illness in Asunción.