Place the chicken breasts, chickpeas, red bell pepper, onion, garlic, ginger, red curry paste, and fish sauce into the slow cooker.
Pour in the chicken broth and stir to combine the curry paste evenly.
Cover and cook on low for 6 hours.
Remove the chicken breasts, shred them with two forks, and return the meat to the slow cooker.
Stir in the coconut milk, lime juice, and baby spinach. Cover and cook on low for 15 more minutes until the spinach wilts.
Ladle into bowls and top with fresh cilantro before serving.