A valuable question

yes i think because a ghost is your mind/consiousness/soul. to my knowledge zombies don't have that. theyre just a body who wants to eat brains

My cousin and I are turning this into a comic.

Imagine the ghost watching the zombie "no dipshit! You have to go that way! Did I really look like that?"

First you have to think of which version of the zombie apocalypse this is. Suppose it's the Walking Dead. If you are bitten, you get an infection that kills you. Your soul is no longer in your body, so your higher brain functions are no longer in use. The disease then rots your flesh and takes over the lowest primal instincts. You don't even have to be bitten. Your heart always has to stop (permanently) to become a zombie. Ghosts might even be more likely in a zombie apocalypse because all of the gruesome murders and the people that feel the need to protect their loved ones. Or they need to get revenge/justice.