Defender Sicelokuhle Hlatshwayo scored his first for the season late in the 2nd half to condemn Garankuwa to their 10th defeat of the season.
The win, Aces' 7th moves them into the top 8, 13 points adrift of Maccabi FC.
AmaZayoni's next match will be a home match against Alex United on Saturday.
Alex United 1-0 African All Stars
Baberwa FC 1-0 Moroka Swallows
Mofolo 0-6 Dondol Stars
Maccabi 3-2 JDR Stars
Orange Vaal Professionals 2-1 M Tigers
Valencia 0-0 AmaBEE
Lerumo 1-0 Vaal Professionals