Remove cranberries and rinse well under cold water. Transfer to a medium saucepan. Also to the saucepan, add the orange juice, apricots, granulated sugar, brown sugar, orange peel, nutmeg and salt. Stir together so all ingredients are well incorporated.
Place saucepan over medium-low heat. Stir often. Cranberries will begin to pop and sauce will being to thicken. Let sauce simmer (not boil) for about 10 minutes.