Apodaca was a member of the senior Puerto Rican National Basketball Team starting in 2002. He played at the 2002 FIBA World Championship, in Indianapolis in, and at the 2003 Pan American Games, in which Puerto Rico won the bronze medal. He also played at the 2004 Summer Olympics, and in a game where Puerto Rico defeated the United States. During that game, he suffered an injury that left him unable to compete in the rest of the tournament. Apodaca also competed with Puerto Rico at the 2006 FIBA World Championship, in Japan.