The 26-year-old -- who was a member of the Argentinian team that lost to hosts Chile in this year's Copa America -- was forced to go off after just 10 minutes of PSG's 1-0 win over Montpellier last Friday.
PSG -- who top the Ligue 1 table with three wins from three matches -- did not reveal how long he could be absent for.
Argentina play Bolivia on September 4 in Houston, Texas, and Mexico four days later in Dallas.