According to a Vermont expert, this central U.S. native is not fully hardy in our zone. Most will die back to the ground every winter and the next year grow as a shrub that is too small to fruit. However, like fig trees, persimmon trees can spend the warm season outdoors in a large container and then be over-wintered in an attached garage or basement.
In three or four years, they will bear their sweet and succulent fruit in late fall, even in three-gallon pots. Pollenizing and fruiting flowers grow on separate trees, so plant at least three trees. Height will be limited by the pot size.