Ghana thrashed Qatar in the first-ever meeting between the two sides at senior level on Monday in Turkey.
The Black Stars produced an impressive performance, after losing 3-1 to Mali, to pummel the Asian champions.
Andre Ayew scored two goals, with Samuel Owusu and Tariqe Fosu netting their debut goals for the Black Stars.
Trabzonspor striker Caleb Ekuban, who returned to the team after a year absence, scored the fight goal to hand Akonnor his first win as Black Stars coach.