The City forward featured for 85 minutes as goals from Leandro Paredes and Cristian Romero earned the South Americans victory.
It means Alvarez and co. have rounded off the international break with two victories from as many matches having beaten Australia by the same scoreline on Thursday.
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The world champions opened the scoring in spectacular fashion as half-time approached, with Juventus midfielder Paredes rifling an unstoppable drive into the top corner from distance.
They would double the advantage soon after the restart when Romero rose highest to head home Giovani Lo Celso’s corner from the left.
Argentina were in control in Jakarta, boasting over 75% possession and registering 19 shots on the hosts’ goal.
However, they were forced to settle for a two-goal victory, with Alvarez taken off as part of a triple substitution with five to play.
There could be plenty of the forward’s City team-mates in action later this evening in the latest round of European Championship qualifiers.
Indeed, our English quintet of John Stones, Kyle Walker, Kalvin Phillips, Jack Grealish and Phil Foden host North Macedonia, while Manuel Akanji‘s Switzerland face Romania.
EDS captain Shea Charles could also be in action for Northern Ireland when they lock horns with Kazakhstan.
All three matches get under way from 19:45 (UK) with a City-centric roundup available to enjoy on mancity.com and the official app soon after the final whistle.