Add chicken, chicken broth, garlic cloves and ginger to a saucepan over medium-high heat. Let cook for 20 minutes. Remove from broth and chop. Let cool while your prep vegetables.
Add dressing ingredients to a measuring cup and whisk to combine.
Add romaine lettuce, cabbage, carrots, cilantro, radishes, red bell peppers, green onions (reserve some for garnish), wonton strips and almonds. Toss to combine, then add ⅔ of the dressing and toss thoroughly.
Portion out salad mix. Top with portion of chopped chicken. Drizzle with remaining dressing and green onions.