But the 2009 world champions must wait until the end of the final batch of GroupmatchesÂ to determine if they can finish as one of the best three third-place teams.
Liberty Professionals striker Ebenezer Assifuah struck a double in the second half after Frank Acheampong had opened the scoring on 38 minutes.
The Anderlecht player profited from a scramble inside the box to fire past goalkeeper Cooper.
Â Assifuah then doubled the lead in the 58th minute when heÂ cutÂ in from the left and bent a powerful one behind Cooper.
But USA responded 11 minutes later when ONeill reduced the deficit but Assifuah headed in a corner-kick from Acheampong in the 78th minute to restore Ghanaâ€™s two-goal lead.
Ghana kept on piling on theÂ pressureÂ and grabbed the fourth through substitute Kennedy Ashia who rifled in a shot from the box.
The Black Satellites are now on course toÂ progressÂ but that will be after all matches have been placed.