Cardozo, nicknamed Pacha started his playing career with Vélez Sársfield during the 1986-87 season. He went on to play over 350 games for the club. He played during the golden era of the club in the mid 1990s when they won 9 major titles.
Cardozo helped Velez to win their first league title in 25 years when they claimed the Clausura 1993 championship. The following season they won the Copa Libertadores and the Copa Intercontinental.
Velez won both league titles during the 1995-96 season.
In 1997 Cardozo was called up to join the Argentina squad to play in Copa América 1997.
His last major title with Velez was the Clausura 1998 championship.
In 1999 Cardozo left Velez, he played for a number of different teams: Newell's Old Boys and Chacarita Juniors in the Argentine Primera, Nacional in Uruguay, where he won a league title, Olimpia in Paraguay and finally Villa Dálmine in the lower leagues of Argentine football.