Separate the radicchio and endive leaves and cut them lengthwise in half if they are large. Separate the frisée leaves; use only the lightest leaves from the center. Pick the leaves off the cilantro stems.
Rinse all the leaves in cold water, drain them in a colander, and dry well by shaking in a cloth.
Peel, quarter, and core the apples. Cut the quarters into thin slices and then into matchsticks.
Mix the leaves and apples together in a large bowl.
Pour the dressing over the salad in the bowl and toss gently with your hands until all the leaves are coated. Serve immediately.