Remove the zest from the oranges; set aside. Rinse the cranberries in a strainer.
Combine the sugar, orange juice, cinnamon, ginger, cloves, and cranberries to a saucepan then bring to a boil over medium-high heat. Reduce heat to low then cook 10-12 minutes or until cranberries pop. Remove from heat; stir in zest. Cool completely. Serve chilled or at room temperature.