In a microwave safe bowl, combine cherries and their juice, orange zest and juice and the cranberries. Loosely cover dish with plastic food storage wrap and microwave on high 1 minute. Stir fruit and microwave on high 1 minute longer. Let fruit stand 5 minutes, then spoon over scoops of vanilla ice cream. Garnish with ginger snaps, vanilla wafers or cinnamon sugar cookies.
Compote may also be prepared on conventional stove top. Combine compote ingredients in a small saucepot and simmer over low heat 7 or 8 minutes or until cranberries plump.