Prep the oven and pan: Preheat the oven to 400°F (200°C).
Lightly grease a 9x13-inch casserole dish.
Season the chicken: In a large bowl, toss chicken with salt, pepper, smoked paprika, onion powder, garlic powder, oregano, and red pepper flakes if using. Set aside.
Sauté the veggies: Heat 1 tablespoon oil in a large skillet over medium-high heat. Add peppers, onion, and mushrooms.
Cook 5–7 minutes until softened and slightly browned. Add garlic and cook 30 seconds. Transfer to the casserole dish.
Brown the chicken: Add remaining oil to the skillet.
Add the seasoned chicken in a single layer, working in batches if needed. Sear 4–6 minutes until lightly browned and mostly cooked through. Transfer to the casserole dish and toss with the veggies.
Make the creamy sauce: In a small bowl, whisk cream cheese, heavy cream, Worcestershire, and Dijon until smooth.
Microwave the cream cheese 10–15 seconds if needed to soften. Taste and adjust salt.
Assemble: Pour the sauce over the chicken and veggies. Gently toss to coat.
Sprinkle provolone and mozzarella evenly over the top.
Bake: Place in the oven and bake 12–15 minutes, until the cheese is melted and bubbly and the chicken is cooked through.
Finish and serve: Let rest 5 minutes. Garnish with parsley if you like. Serve hot with a simple green salad or steamed broccoli.