Mezni cofounded the SAH Group in 1994 with Mounir El Jaiez. The group is present in over 20 countries across the Middle East, Africa, and France. Among its subsidiaries are SAH Morocco, SAH Algeria, Azur Papier, and Azur Détergent, among others. In 2022, the group made $276.2 million in revenues, an increase of 28.7% compared to 2021. SAH Tunisia contributed up to 55.8% of overall sales, followed by Azur Détergent and Azur Papier, with 19.4% and 12.3%, respectively.