Sort cranberries and discard soft or decayed fruit. Rinse berries and put in a 2- to 3-quart glass jar, crock, or bowl. Add peel, sugar, and wine; mix well.
Cover and chill at least 1 week or up to a month; stir several times. Pour aperitif through a fine strainer into a pitcher, or return to jar. Serve cold. Reserve cranberry-orange peel mixture to dress up muffins and pancakes.