Prepare the Chicken:
Cook the chicken breasts by boiling or pan-searing, then shred the meat into bite-sized pieces using two forks. Set aside.
Assemble the Salad:
In a large bowl, combine the shredded napa cabbage, carrots, bell pepper, and green onions. Add the shredded chicken, slivered almonds, and sesame seeds.
Make the Dressing:
In a small bowl, whisk together rice vinegar, soy sauce, sesame oil, honey, ginger, garlic, Dijon mustard, and a pinch of salt and pepper until smooth and well combined.
Toss the Salad:
Pour the dressing over the salad mixture and toss gently to combine, ensuring that the ingredients are evenly coated.
Serve:
Top with crispy noodles if desired and garnish with additional sesame seeds. Serve immediately or refrigerate for up to 2 hours before serving.