The Urban Warriors were docked points for playing Tendai Ndoro illegally after the Zimbabwe striker had already played for Orlando Pirates and Al Faisaly with Ajax being his third club in the season - which is against Fifa rules.
But after initially being cleared to play the hitman by the PSL, arbitrator William Mokhari overruled the football governing body’s original decision.
The result was that Ajax lost the points and their place in the PSL-NFD promotional playoffs to Platinum Stars.
Black Leopards won the mini-league last month, with Jomo Cosmos also competing.
The Cape club, however, believe they have a strong case to argue and void the results.
Earlier this month, Second Division side Phiva Stars were docked points for fielding an ineligible player.
They were docked points but unlike Ajax, the points were not awarded to their rivals and Ajax will try to use this in court.
The Ikamva outfit are feeling confident and have ordered their players back into training in anticipation for a replay of the playoffs.
However, a win for Ajax in court will probably just lead to more legal action.