Yes. Persimmon (the fruit of Diospyros kaki) is allowed in Jainism. Jain dietary rules focus on ahimsa (non-violence) and avoiding harm to living beings. Fruits in general are permitted as long as they are not involved in harm to life or to beings that live in the plants. There is no specific Jain prohibition on persimmon, and both Digambar and Śvētāmbara traditions accept fruit-based foods that are prepared without causing harm.

Important notes:

• Jains often avoid root vegetables (like potatoes, onions, garlic) because their harvest can injure small organisms; fruits like persimmon do not fall under this restriction.
• Always practice mindful sourcing and cleanliness; wash fruits and remove any inedible parts before eating.

If you want, I can look for a Jain Knowledge page that discusses vegetarian food guidelines and related rules.