Place cabbage quarters around the edges of the slow cooker insert.
Arrange the seasoned chicken thighs in the center, skin side up.
Sprinkle ground black pepper evenly over the chicken.
Add minced garlic, chicken broth, and olive oil over the chicken and cabbage.
Cover and cook on low for 6-7 hours or on high for 3-4 hours, until chicken is cooked through and cabbage is tender.
Check chicken’s internal temperature to ensure it reaches 165°F (74°C).
Serve hot, spooning some cooking juices over the dish.