Hello- I feel like our persimmon is dying but 2 "arborists" say it's ok. In the summer the tree looks really stressed with it's leaves upward, curled and dry looking. Limbs small and large fall dead from it. In 17 years I have lived here it rarely has produced any fruit. It get's blossoms and then they fall off. The newest thing I have seen is about 4 ft up from the base the bark is pulling away from the trunk on one side.. The image I am sending is of a limb that fell that's about 8" in diameter.
It sounds like your persimmon has interior rot. The photo shows a branch with lichens and pink fungal fruiting bodies. The fungus on the branch indicates that the branch is rotten, as does the fact that the bark is pulling away. It might be a good idea to plant a replacement persimmon tree. http://www.clemson.edu/extension/hgic/plants/vegetables/tree_fruits_nuts/hgic1357.html