1. Stir together chicken, sausage, kale, red pepper, celery, onion, tomatoes, garlic, thyme, red pepper flakes, and arrowroot starch in the slow cooker.
2. Once combined, cover the slow cooker and cook for 6 hours on low or 3 hours on high.
3. After that time, add shrimp to the slow cooker and cook on high for another 30 minutes.
4. Once the jambalaya is cooked, serve it on the cooked brown rice, garnished with parsley, and enjoy!