If Marquez, who can play as a centre back or defensive midfielder, walks out for Mexico during the June 14 to July 15 tournament, he would join German midfielder Lothar Matthaeus and Mexican goalkeeper Antonio Carbajal as a five-time World Cup veteran.
The 28-man squad named by coach Juan Carlos Osorio will be trimmed down to 23 by June 4.
Mexico kick off their campaign against champions Germany on June 17 before facing South Korea and Sweden in Group F.
Appearing in a fifth World Cup would be a fitting farewell for the 39-year-old Marquez, who had already announced his plans to retire from the sport following the tournament in Russia.
Marquez is one of the best-known athletes in Mexico and has enjoyed a long career playing for teams including Monaco, NY Red Bulls, Hellas Verona and now Atlas.
(Reporting by Andrew Downie, editing by Pritha Sarkar)
