Wash apples and oranges. Quarter the apples and slice the oranges, leaving the peel on.
Add the apples, oranges, cane sugar, cinnamon sticks, whole cloves, allspice berries, and whole nutmeg to the stockpot. Pour in enough cold water to cover the fruit (about 8 cups).
Place the pot on high heat and bring to a boil. Once boiling, reduce the heat to low and let it simmer for 2 hours, stirring occasionally.
After 2 hours, use a potato masher to gently mash the softened apples and oranges.
Let the mixture simmer for an additional 30-45 minutes.
Carefully strain the mixture through a fine mesh strainer or cheesecloth into a large bowl, pressing the solids to extract all the liquid.
Enjoy the cider hot or cold. Store leftovers in an airtight container in the fridge for up to 1 week or in a freezer-safe container for up to a couple of weeks.