Add the apples, persimmon, apple cider, cinnamon, and lemon juice to a small pot and put over medium heat. Once the cider begins to bubble, reduce the heat to a simmer.
Simmer for about 10 minutes or until the mixture has thickened and the cider has reduced completely.
Transfer the mixture to a food processor and process until you have your desired consistency.
Transfer to a glass jar and let it cool to room temperature.