Zamzam (زمزم) is sacred to Muslims because of its blessed connection to the holy well. Naming something after a sacred name with the intention of seeking blessings is permissible. However, simply giving a business a sacred name will not bring blessings on its own. True blessings come only when the business is also kept free from all things prohibited by Shariah.
Allah the Almighty knows best.
Darul Ifta Al-Ikhlas, Karachi.