In 2014, Wiese sold Pepkor to Steinhoff International in exchange for 20 percent of Steinhoff's issued shares.
Premier Group operates under the banner of Brait SE.
Wiese owns 11.58 percent of the company, valued at over $860 million.
Bekker owns 11.63 percent of Shoprite.
Wiese owns an 11.58-percent stake in Shoprite.
Wiese holds an 11.58-percent stake in Shoprite worth $862.4 million.
The listing will take place as soon as more favorable stock market conditions permit.
In 2017, Wiese was Steinhoff's largest shareholder.
Wiese received $198.5 million in cash and a five-percent share in Pepkor.
The move comes nearly three weeks after it received approval from a Cape Town high court to pay the investors.