01 - Preheat oven to 400°F. Lightly grease a 9x13-inch casserole dish with cooking spray or a small amount of oil.
02 - In a large bowl, toss chicken pieces, squash, Brussels sprouts, carrots, parsnips, leeks, and garlic together until evenly distributed. Spread mixture in the prepared casserole dish.
03 - In a mixing bowl, whisk together chicken broth, heavy cream, Dijon mustard, cornstarch, thyme, rosemary, pepper, and salt until smooth and completely combined.
04 - Pour the sauce evenly over the chicken and vegetables, ensuring all pieces are coated.
05 - In a small bowl, combine cheese, breadcrumbs, and olive oil. Mix until the crumbs are evenly coated with oil.
06 - Sprinkle topping mixture evenly over the casserole. Cover loosely with foil and bake for 30 minutes.
07 - Remove foil and continue baking for 20 minutes, until vegetables are tender, chicken is cooked through (internal temperature reaches 165°F), and topping is golden brown and crispy.
08 - Let casserole rest for 5–10 minutes before serving to allow sauce to thicken slightly. Garnish with fresh herbs if desired.