The Juventus striker's chances of being selected for the World Cup appear to be all but over after he missed out on selection for the clash against Romania.
Malaga goalkeeper Willy Caballero and Tottenham’s Erik Lamela were other hopefuls who missed out on Alejandro Sabella’s selection in what will be the country’s only game before its World Cup warm-up matches in June.
Sabella named a 22-man squad to face Romania on March 5, although he can still add to that pool with players playing in Argentina in the weeks leading up to the game.
The latest squad selection was seen as the final opportunity for many fringe players to stake their claims for the short trip to Brazil for the World Cup this summer.
Tevez, who has scored 14 goals this season after joining Juventus last year, was last called up for the Copa America when Sergio Batista was still in charge in 2011 and recently said he has all but given up on playing in the world’s biggest tournament.
Getafe’s 24-year-old defender Lisandro Lopez was picked, while Gino Peruzzi and Atletico Madrid star Jose Sosa earned recalls to the setup.
After facing Romania in Bucharest, Argentina faces Trinidad & Tobago and Slovenia in June. It will then go on to face Bosnia-Herzegovina, Iran and Nigeria in World Cup Group F.
Goalkeepers: Sergio Romero (Monaco) and Mariano Andujar (Catania)
Defenders: Pablo Zabaleta (Manchester City), Federico Fernandez (Napoli), Ezequiel Garay (Benfica), Marcos Rojo (Sporting Lisbon), Hugo Campagnaro (Inter), Jose Basanta (Monterrey), Lisandro Lopez (Getafe), Nicolas Otamendi (Atletico Mineiro) and Gino Peruzzi (Catania)
Midfielders: Javier Mascherano (Barcelona), Angel Di Maria (Real Madrid), Lucas Biglia (Lazio), Ricardo Alvarez (Inter), Augusto Fernandez (Celta Vigo) and Jose Sosa (Atletico Madrid)
Forwards: Lionel Messi (Barcelona), Gonzalo Higuain (Napoli), Sergio Aguero (Manchester City), Ezequiel Lavezzi (Paris Saint-Germain) and Rodrigo Palacio (Inter).