I have propagated persimmons in different methods. Last year a Greek man who has a tree grown from seed, said that he was successful rooting some persimmon cuttings, in mid summer. He showed me one growing in a bucket, said out of 10 one is growing.
So I tried his method and wasn't successful. Not sure if this was a sucker or was it really an actual cutting.
I was successful planting root suckers and it will send top growth. I've grown from seeds, but the successful way is grafting, which is very tricky with persimmons.