Preheat and prep: Heat oven to 375°F (190°C).
Grease a 9x13-inch baking dish with a little olive oil or nonstick spray.
Cook the pasta: Boil in well-salted water until just shy of al dente (1–2 minutes less than package). Drain and set aside.
Sauté aromatics: In a large skillet, melt butter with olive oil over medium heat. Add onion and a pinch of salt.
Cook 4–5 minutes until softened. Stir in garlic for 30 seconds.
Make the roux: Sprinkle flour over onions. Cook, stirring, for 1 minute to remove raw flour taste.
Build the sauce: Whisk in chicken broth slowly, then milk.
Simmer 2–3 minutes until slightly thickened. Reduce heat to low and add cream cheese, stirring until smooth.
Season and cheese: Stir in Parmesan, Italian seasoning, smoked paprika, and red pepper flakes. Taste and season with salt and black pepper.
The sauce should be flavorful.
Combine: Add cooked pasta, chicken, and peas (or broccoli) to the sauce. Toss gently to coat everything evenly.
Assemble the casserole: Transfer mixture to the prepared baking dish. Top with mozzarella.
Sprinkle breadcrumbs over the cheese if using.
Bake: Bake 18–22 minutes, until the top is melted and bubbly. For extra color, broil 1–2 minutes, watching closely.
Rest and serve: Let it sit for 5–10 minutes to set. Garnish with parsley and serve warm.