Marquez has officially assumed control of the Mexico squad following the conclusion of Aguirre's tenure. The managerial change was triggered automatically after Mexico suffered a 3-2 defeat to England in the World Cup round of 16 on Sunday. The match marked the end of the road for the co-hosts.
Aguirre accepted the job knowing his reign would end after the home tournament, acting as a mentor for his assistant.
Marquez brings vast experience to the role, having enjoyed a stellar club career that included spells at Atlas, Monaco, Barcelona, New York Red Bulls, Leon and Hellas Verona before hanging up his boots.