Heat a large skillet or pot over high heat and cook chicken pieces until lightly browned. Transfer to a plate and set aside.
In same pan/pot saute onion for 2 minutes, then add garlic and cook for 2-3 minutes more.
Add zucchini, bell pepper, red cabbage, and carrots. Season with rosemary, bay leaves, thyme, salt, and pepper. Cook for 5 minutes. Stir regularly.
Stir in tomatoes, cooked chicken pieces, tomato paste, sweet potatoes, and water. Cover and cook for 20-30 minutes, stir occasionally. Add water if needed.