Márquez Lugo made numerous appearances for Mexico youth national teams, including the U-20 and U-23 levels. He appeared in the 2004 Summer Olympics with the Under-23 squad. He has also was called up by Ricardo Lavolpe to play for the Mexico national football team, which included call-ups to the 2005 FIFA Confederations Cup and the 2005 CONCACAF Gold Cup. Márquez Lugo was announced as one of the 3 over-aged players named to the U-22 team that represented Mexico in the 2011 Copa América. Márquez Lugo appeared in all three of Mexico's matches before they were eliminated.