The team was defeated 1-0, with the Mexicans winning thanks to an 83rd-minute strike.
Victor Guzman, a midfielder, scored the game's only goal with a low shot into the corner, leaving the goalkeeper with no chance.
Black Satellites had a couple of decent opportunities but failed to score.
Ghana are in Group B, alongside Mexico, Venezuela, and Indonesia. The other group game ended in a 1-0 victory for Venezuela.
Black Satellites' next game is against Indonesia on Thursday before facing Venezuela on Sunday in their last group game.
See highlights of the game below