In a large mixing bowl, combine the coleslaw mix, shredded red cabbage, chopped chicken, and green onions.
Toss to combine well.
Whisk together the soy sauce, sesame oil, minced garlic, ginger paste, rice vinegar, olive oil, and brown sugar Swerve in a small bowl until well combined.
Pour the sauce mixture over the salad and stir to combine well.
Serve immediately or chill before serving if desired.
Notes
Use rotisserie chicken to save time. For crunchier salad, add dressing right before serving. Fresh grated ginger can substitute ginger paste.