Transfer to a largebowl. Finely grate2 teaspoons orange zestfrom 1 of 4 naveloranges; set aside.Using a sharp paringknife, remove peeland white pith fromoranges. Workingover a mediumbowl, cut betweenmembranes torelease orangesegments. Coarselychop segments; addto cranberries. Stir3/4 cup sugar, 1/2 cupminced red onion,1/4 cup choppedfresh mint, 1 tablespoonminced peeledginger, and reservedzest into cranberrymixture. Cover; letstand at room temperaturefor 2 hours.DO AHEAD: Can bemade 1 day ahead.Cover and chill.