In a 4- to 5-quart slow cooker, combine the tomato juice, pickled cherry peppers, soy sauce, hoisin sauce, peanut oil, and crushed red pepper flakes. Stir thoroughly to blend the sauces and spices into a smooth, flavorful base.
Add the shredded chicken, chopped onion, and broccoli into the mixture, ensuring all ingredients are well coated. Cover the slow cooker with its lid and cook on low heat for about 2 hours, allowing the vegetables to soften and the flavors to meld into a savory, slightly spicy sauce.
Once the stew is ready, lift the lid and give it a gentle stir. Spoon the stew into serving bowls and garnish each portion with freshly chopped green onions and a sprinkle of toasted sesame seeds for a fragrant, crisp finish.
Serve warm, letting the tangy-sweet sauce and tender chicken take center stage in this comforting Asian-inspired dish.