Bring 1 quart water to a boil, then remove from the heat and add the tea bags. Steep the tea, dunking the bags occasionally, 10 minutes. Remove the tea bags. Add the cranberry juice and stir. Refrigerate until chilled completely, about 1 hour.
Fill a tall glass a third of the way with the cranberry tea, then fill the rest of the way with the Italian orange soda. Add a heaping tablespoon of the cranberry cubes. Garnish with an orange zest curl and serve. Repeat with 11 more glasses and the remaining ingredients.