Some bird owners feed persimmons (without skin) to birds, their birds love eating persimmons and without any ill effect. Meantime, some said persimmons are on toxic list, its tannins may be harmful to our birds. As there are many uncertainties, I would not recommend to feed persimmons to birds. You can choose some other tasty and healthy fruits for your birds.
Care For Your Birds - Beginners' Guide【新手飼養雀鳥指南】 