The move comes a day after 33 of Ben Ali's clan were arrested for crimes against the nation. State television showed what it said was seized gold and jewellery. Switzerland has also frozen Ben Ali's family assets.
Tunisia's new leadership has said it will investigate those people who accumulated vast wealth under Ben Ali. That opens the way for a possible redistribution of assets, and causes potential headaches for foreign partners.
Now in Dubai, Materi has said he is ready to submit to any investigation by the new government.
His empire ranges from media to banking and telecoms.
Princesse Holding owns a share in mobile telephone operator Tunisiana. In November last year, it joined Qatar Telecom's Kuwaiti unit Wataniya in a consortium to buy Orascom Telecom's 50 percent stake in the operator.
Materi is also chairman of ENNAKL, a car retailer which sells the Volkswagen, Audi, Seat and Porsche brands. The firm listed 40 percent of its share capital on the Tunis and Casablanca stock exchanges last year.
His media interests include Assabah newspaper, Tunisia's biggest-circulation daily, and Islamic radio station Ziytouna FM.