No, cats should not eat persimmons. Persimmons contain substances that can be harmful to cats.
The seeds and skin of persimmons contain high levels of tannins, which can upset a cat’s stomach and possibly cause constipation. Even the ripe flesh of persimmons can be difficult for cats to digest and may cause upset stomach or diarrhea.
Avoid feeding your pet human food, which can be potentially dangerous. Choose a cat-friendly diet to reduce potential harm.
Don’t forget to talk to your veterinarian for further advice.