In a large bowl, combine all the chicken marinade ingredients. If your pieces of chicken are thick, place them between two sheets of plastic wrap and pound them with a meat mallet to an even ½-inch (12mm) thickness.
Remove the plastic wrap and add the chicken to the marinade. Let it marinate for 20 minutes.
Heat a grill or heavy-bottomed skillet over medium-high heat.
Cook the chicken until it is browned and cooked through, 3 to 4 minutes per side.
Let cool, then shred or chop the chicken.
Make the fish sauce dressing:
In a medium bowl or large jar, combine all the dressing ingredients with ¾ cup (180 ml) water and mix well.
Allow the sugar to completely dissolve before using. (You can store the dressing in the refrigerator for up to 1 month.)
In a large bowl, combine the cabbage, herbs, and carrots.
Add the chicken to the bowl with the cabbage and toss to combine.
Add dressing to taste before serving.
Top the salad with the peanuts and serve.
Notes
Editor’s Note: Make sure to use gluten-free fish sauce in this recipe to ensure that it’s safe for your needs.