Only one nationalized player, Argentina-born forward Guillermo Franco of Villarreal, is included in the 24-player squad.
Blanco and Franco were among 10 foreign-based players called up.
Aguirre dropped Oswaldo Sanchez, who started in goal against the USA in February.
Mexico is in fourth in the Hexagonal after three games, behind the USA, Costa Rica and Honduras.
Goalkeepers: Guillermo Ochoa (Club America), Jesus Corona (UAG), Oscar Perez (Cruz Azul).
Defenders: Ricardo Osorio (VfB Stuttgart), Aaron Galindo (Guadalajara), Francisco Rodriguez (PSV), Hector Moreno (AZ), Edgar Duenas (Toluca), Carlos Salcido (PSV), Oscar Rojas (Club America).
Midfielders: Gerardo Torrado (Cruz Azul), Pavel Pardo (Club America), Israel Castro (UNAM), Giovani Dos Santos (Tottenham), Fernando Arce (Santos), Andres Guardado (La Coruna).
Forwards: Carlos Vela (Arsenal), Alberto Medina (Guadalajara), Cuauhtemoc Blanco (Chicago Fire), Nery Castillo (Shakhtar Donetsk), Miguel Sabah (Morelia), Guillermo Franco (Villarreal), Jose MarDia Cardenas (Pachuca), Carlos Esquivel (Toluca).