Persimmon scale and tuliptree scale are to be expected. In unsprayed situations, scale are generally kept under control by natural parasites, predators and diseases. Spraying for other pests often releases scale from natural control. Dormant oil application shortly before bud swell should provide good control of scale. Persimmon psyllid is a tiny, leaf feeding, aphid-like pest that causes leaf deformation.
Infested leaves roll and curl up on themselves.
Psyllid are often limited by natural parasites. Don't apply insecticides until after you have observed damage. Caterpillars such as fall webworm, red-humped caterpillar and variable oak leaf caterpillar will occasionally infest persimmons. These pests also tend to be heavily parasitized, limiting their importance as pests. Insecticides are effective where damage warrants use.