Use powdered sugar to keep the dough from sticking to your hands.
Heat first 2 ingredients in a saucepan over low heat, stirring constantly, until mixture is smooth. Remove from heat. Gradually add powdered sugar, stirring to blend. Stir in peppermint extract and zests. Divide mixture into 8 portions, and roll each into a 12-inch rope. Cut into 1/2-inch pieces. Let stand 4 hours.
Cream Cheese Mints: Prepare recipe as directed, omitting peppermint extract and zests.