Cook chicken with seasonings, yogurt, cream cheese, and broth in crockpot (high 3–4 hrs or low 6–8 hrs).
Toss potatoes with oil and seasonings; air fry at 400°F until crispy.
Shred chicken, stir until creamy, add broccoli; cook until tender.
Stir in parmesan.
Portion potatoes and top with chicken mixture into containers.
