How to Make It
Rub the chicken breasts with 1 teaspoon of the salt and 1 tablespoon of the sesame oil. In a medium saucepan, combine the jalapeño, ginger, and water. Bring to a simmer, add the chicken, and cover the pan. Simmer for 5 minutes. Turn the heat off and let the chicken steam for 5 minutes. Remove the chicken breasts from the saucepan; when they are cool enough to handle, pull them into shreds.
Meanwhile, in a large glass or stainless-steel bowl, combine the cabbage with the vinegar, fish sauce, lime juice, and the remaining 2 teaspoons salt. Toss and let stand for 10 minutes.
Add the carrots, radishes, scallions, 1 1/2 cups of the herbs, and the apple to the cabbage mixture. Stir in the remaining 1 tablespoon sesame oil. Serve the salad topped with the chicken and the remaining 1/2 cup herbs.
Asian fish sauce is available at Asian markets and most supermarkets.