In the other ties, Absa Premiership champions Mamelodi Sundowns will welcome struggling AmaZulu, and Bidvest Wits will face visiting SuperSport United.
The PSL decided the match-ups via a draw on Monday, with the fixtures originally set for the weekend of 25 October. The League, however, are yet to confirm dates and venues.
TKO last-eight fixtures:
Kaizer Chiefs vs Platinum Stars
Orlando Pirates vs Ajax Cape Town
Mamelodi Sundowns vs AmaZulu
Bidvest Wits vs SuperSport United