Place the chicken breasts, chicken broth, carrots, onion, garlic, ginger, and soy sauce in the slow cooker.
Cover and cook on low for 6 hours until the chicken is fully cooked and tender.
Remove the chicken from the slow cooker, shred it with two forks, and return it to the pot.
Add the egg noodles and chopped bok choy. Stir gently, cover, and cook on high for 25 to 30 minutes until the noodles are tender.
Season with salt and black pepper to taste. Ladle into bowls and top with sliced green onions before serving.