Muntari, a UEFA Champions League winner, is a free agent after his short-term contract with Spanish side Albacete expired at the end of last season.
He was strongly linked to the PSL side when football resumed.
According to Muntari’s South Africa-based agent Sipho Shaven, the former Portsmouth midfielder has expressed his desire to play in the South African Premier Soccer League.
“He has given me a mandate to talk to clubs in South Africa. He is very keen to play in the PSL next season,” Shaven told South African media outlet, KickOff.com.
Despite Muntari’s strong desire to sign for Chiefs, the club has been banned by FIFA from signing any player for the next two transfer window periods, unless their appeal to the Court of Arbitration for Sport is successful.
SuperSport United and Orlando Pirates are also said to be monitoring the situation and could make an offer soon.