A local persimmon-tree in fruit.

After the quinces, before the medlars
which need frost to ripen.
I thought they came from China,
but I now know that they are native to the USA.

 The North American date-plum, a tree common in the U.S. South, 
 1610s, from Powhatan (Algonquian) pasimenan "fruit dried artificially," 
  from pasimeneu "he dries fruit," 
 containing Proto-Algonquian */-min-/ "fruit, berry." 

The botanical name is Diospyros kaki
and they are now sold (for some commercial reason)
as kaki-fruit
(I suppose as Chinese gooseberries
have been marketed by New Zealanders
as kiwi-fruit).

Here in France, where they were called
plaquemines – a word which comes

  probably from Miami/Illinois (Algonquian) piakimina 

– I have seen persimmons with the label
sharon-fruit.
Presumably they come from Israel,
though not from 'Sharon's dewy rose'.

  with thanks to the Online Etymological Dictionary