Peel, seed, and dice the butternut squash. Chop the onion and mince the garlic.
In a skillet, heat some olive oil over medium heat. Add the chopped onion sauté for 5 minutes. Add the garlic, butternut squash, pinch of salt, cumin, chili powder, oregano and saute for a few minutes. (Can be done in a slower cooker with browning function.)
Transfer the butternut squash, onion, and garlic with spices to the slow cooker. Add the chicken, green chilies, salt, and pepper. Pour in the chicken broth and stir to combine
Cover and cook on low for 6-8 hours or on high for 3-4 hours until the butternut squash is tender.
Remove chicken and shred with two forks
Garnish with chopped fresh cilantro or parsley.