Chiefs suffered their first home defeat of the season when they were beaten 1-0 by Mamelodi Sundowns on Saturday night.
The Soweto giants have claimed 29 points from 12 home matches so far this season.
Their next three league opponents are Polokwane City (away), Free State Stars (home) and University of Pretoria (away).
The Amakhosi are placed first on the Absa Premiership log with 52 points from 24 matches.
Aces saw their unbeaten streak in the league ended at six games when they lost 2-1 at home to Bidvest Wits on Saturday.
The Mpumalanga side has claimed 14 points from their 12 away matches so far this season.
Their next three league opponents are Mamelodi Sundowns (away), Polokwane City (home) and Free State Stars (away).
AmaZayoni are placed seventh on the Absa Premiership log with 37 points from 25 matches.
In head-to-head stats, Chiefs and Aces have met in 29 league matches since 1985.
The Amakhosi have 20 wins compared to just four for AmaZayoni, while five matches have been drawn.
Chiefs have won 11 of their 14 home matches against Aces, suffering just two defeats in the process.
When the teams met earlier this season the Amakhosi claimed a 1-0 away win thanks to a goal from Parker.