Rinse cabbage well. Put the cabbage in a bowl and sprinkle liberally with salt, tossing to mix. Set aside for 1 hour.
Mix more salt into the cabbage and set aside for another hour. Wash and drain the cabbage. Combine the garlic, ginger, and onion in a blender with the water. Blend on high speed until smooth.
Stir together the rinsed drained cabbage, garlic-ginger mixture, minced green onions, cayenne pepper, persimmon, radish, and cucumber and mix well. Transfer the mixture into airtight containers, and refrigerate for 3 days before serving.
