Cardetti started his career in 1995 at Rosario Central, he helped the club to claim the 1995 Copa CONMEBOL.
In 1997 he joined River Plate where he played a part in the team that won the Apertura title and the Supercopa Sudamericana in 1997.
In 1998 Cardetti moved to Spain to play for UD Salamanca but it did not work out for him and he returned to River Plate in 1999. He won a further three titles with River Plate before trying his luck in European football for a second time.
Paris Saint-Germain FC signed Cardetti in 2002, but his spell in France only lasted one season. He moved to Real Valladolid in 2003 and back to Argentina to join Racing Club in 2005. Later in 2005 Cardetti played for Mexican UNAM Pumas but he returned to Argentina once again to play for Gimnasia de La Plata.
During the 2007 January transfer window Cardetti joined Deportivo Cali. After a slow season start, Martin has shown all his potential as key player, becoming MVP during last semifinal game, in which Deportivo Cali beat Boyacá Chicó.
After only a few months with Deportivo Cali Cardetti returned to Argentina to play for Colón de Santa Fe.