Place the chicken thighs in the slow cooker first.
Add the shredded cabbage, frozen carrots, chicken broth, soy sauce, minced ginger, garlic powder, and black pepper.
Stir gently to combine the liquids and spices.
Cover and cook on low for 6 to 7 hours until the chicken is tender.
Remove the chicken, shred it with two forks, and return it to the slow cooker. Stir to mix everything together before serving.