I remember having this same problem on my first playthrough of Final Fantasy 4. Although, it might not have necessarily been the Tower of Zot. I just remember being stuck in the middle of a dungeon somewhere. I had no potions left, and I got killed the next time I entered a battle. No matter how many times I tried to run from all the battles or reset the game, I would always die before I could make it anywhere at all. I gave up after that.
Luckily after that, I gave the game another go a few years ago and I loved it.
I'm happy to say I've beaten this game. Sometimes, you just have to set it down and do something else for a couple weeks....or months...or a few years.