Assuming your fuyu is grafted on American persimmon root stock they are extremely tough
trees with very few diseases or
pests that bother them. Don't over think it, plant the plants you want around it. Paw paw, oak,
black locust,
ash, pine, blueberries, elderberry, Jerusalem artichoke, clover, millet, crabapple, stag horn sumac, and devils walking stick are all things that play well with persimmon on our property.