Add the base: Place the chicken in your slow cooker or Instant Pot.
Pour in the green enchilada sauce (or salsa verde), green chiles, and chicken broth.
Season: Sprinkle in cumin, onion powder, garlic powder, salt, and pepper. Gently stir or nestle the chicken so it’s evenly coated.
Dump the dairy: Scatter the cream cheese cubes over the top. Do not mix fully—just let them sit on the surface.
Cook (slow cooker): Cover and cook on Low for 4–6 hours or on High for 2.5–3.5 hours, until the chicken shreds easily.
Cook (Instant Pot): Seal the lid and cook on High Pressure for 12 minutes (thawed chicken).
Natural release for 10 minutes, then quick release. If using frozen chicken, cook for 15 minutes.
Shred: Remove the chicken to a board and shred with two forks. Return it to the pot.
Finish the sauce: Stir in the sour cream (or Greek yogurt) until the sauce is smooth and creamy.
Taste and adjust salt and pepper.
Optional add-ins: Fold in corn, black beans, or chopped cilantro. Warm through for 5–10 minutes on Low (or use the Sauté function on the Instant Pot briefly).
Serve: Spoon over rice, tuck into tortillas, or top roasted veggies. Garnish with lime, cilantro, avocado, and shredded cheese if you like.