Lionel Scaloni named a 27-man squad on Sunday, including Mac Allister, Leonardo Balerdi, Nicolas Figal, Lucas Martinez, Nicolas Dominguez, Lucas Ocampos and Adolfo Gaich.
Mac Allister, 20, is on loan at Boca from Premier League club Brighton and Hove Albion, who signed the attacker in January.
Argentina, which finished third at the Copa America, is without superstar Lionel Messi as the forward serves a suspension.
It is an inexperienced squad for the friendlies in September, with Sergio Aguero and Angel Di Maria among the players joining Messi in missing.
Argentina faces Chile in Los Angeles on 6 September (AEST) before taking on Mexico in Texas five days later.
Argentina squad: Esteban Andrada (Boca Juniors), Franco Armani (River Plate), Agustin Marchesin (Porto); Leonardo Balerdi (Borussia Dortmund), Nicolas Figal (Independiente), Lucas Martinez (River Plate), Gonzalo Montiel (River Plate), Nicolas Otamendi (Manchester City), German Pezzella (Fiorentina), Marcos Rojo (Manchester United), Nicolas Tagliafico (Ajax); Marcos Acuna (Sporting CP), Rodrigo De Paul (Udinese), Nicolas Dominguez (Velez Sarsfield), Manuel Lanzini (West Ham), Giovani Lo Celso (Tottenham), Alexis Mac Allister (Boca Juniors), Lucas Ocampos (Sevilla), Exequiel Palacios (River Plate), Leandro Paredes (Paris Saint-Germain), Roberto Pereyra (Watford), Guido Rodriguez (America), Matias Zaracho (Racing Club); Joaquin Correa (Lazio), Paulo Dybala (Juventus), Adolfo Gaich (San Lorenzo), Lautaro Martinez (Inter).