The result sees Argentina finishing top of the group on seven points, Amajita on six, Ghana on four, and Nigeria with zero.
Amajita will now face either Brazil or Japan on Friday evening after beating Nigeria in the early game.
The first half was tightly contested and void of goal chances as the teams cancelled each other out in the middle of the park.
Ten minutes before the break the Argentineans were unlucky not to go ahead when Lucas Rodriguez struck the bar with a 20-yard rising effort.
The South Americans were to hit the woodwork again; a minute after the break it was defender Juan Vivas who saw his shot bounce off the turf and into the bar.
Ghana had a couple of opportunities through Baba Abdul, but he was unable to find the target on two occasions.
The Black Satellites finished the match with 10 men after Prince Bafoe’s second red card in the 74th minute.
They pushed hard for a winner, also getting overly physical as frustrations set in.