I think they may have shared some similarities, but I find that the approaches are quite different.
Z: Zoroaster is the Founder
H: No one founded Hinduism; it is eternal
Z: God is strictly invisible and monotheistic
H: God can be seen in all forms, many forms, or no forms - can be polytheistic, monotheistic, pantheistic or monistic
Z: The Gathas and the Avesta are the main Scriptures
H: The Scriptures include the Four Vedas, the Upanishads, the Puranas, the Gita, the Mahabharata, the Ramayana, etc.
Z: Sacred fire as the main external worship practice
H: Fire sacrifices, but also aratis, pujas, abhishekhas, kirtana, etc.