A mesosilicalite nanocarrier having a hierarchical silicalite characterized by a molar ratio of aluminum to silica in a range of 1:3000 to 1:1000. The hierarchical silicalite includes mesopores of a hexagonal structure, and micropores of silicalite structure with a microporous volume in the range of 0.05 cc/g to 0.1 cc/g. The nanocarrier has a mesophase content in the range of 30 wt % to 70 wt %, a microphase content in the range of 30 wt % to 70 wt %, and a mean pore diameter in the range of 1.5 nm to 5.5 nm. A method of preparing the stable mesosilicalite nanocarrier with hierarchical micro/mesopores to load an antioxidant or drug for targeted drug delivery is also described.