In a medium saucepan over medium-low heat, combine the cranberries, sugar, apple juice, apple, orange zest, and orange juice.
Cook, stirring frequently, until the mixture has thickened but the fruit is still chunky, 12 to 15 minutes. Remove the mixture from the heat and let it cool completely. It will thicken more as it cools.
Spoon the mixture into an airtight container and store in the refrigerator until ready to eat. Serve chilled or at room temperature.