Preheat and prep: Set your oven to 375°F (190°C). Pat the chicken dry and season with a pinch of salt and pepper.
Brown the chicken: Heat 2 tablespoons of oil in a large oven-safe skillet over medium-high.
Add the chicken and sear for 4–6 minutes until lightly browned and mostly cooked through. Transfer to a bowl.
Sauté the veggies: Lower heat to medium. Add the remaining 1 tablespoon oil, then onion and bell pepper.
Cook 3 minutes. Add mushrooms and cook another 3–4 minutes until they release moisture and brown slightly. Stir in the garlic for 30 seconds.
Season the base: Sprinkle in smoked paprika, Italian seasoning, crushed red pepper (if using), 1 teaspoon salt, and black pepper.
Stir to coat the veggies and toast the spices for 30 seconds.
Add cauliflower rice: Stir in the riced cauliflower and cook 2–3 minutes to soften slightly. If using frozen, cook until excess moisture evaporates.
Bring it together: Pour in the chicken broth. Return the chicken and any juices to the pan.
Stir, then simmer 2 minutes to let flavors mingle.
Make it creamy: Turn off the heat. Stir in Greek yogurt or sour cream, 1/2 cup shredded cheddar (or Jack), and the Parmesan. Add lemon juice and half the parsley.
Taste and adjust salt and pepper.
Top and bake: Smooth the mixture in the skillet. Sprinkle the remaining 1/2 cup shredded cheese on top. Transfer to the oven and bake 12–15 minutes, until hot and bubbly with lightly golden edges.
Finish and serve: Let it rest for 5 minutes.
Garnish with remaining parsley. Serve warm straight from the pan.