Sauté Aromatics: Heat butter in a large skillet or Dutch oven over medium heat. Add onion, garlic, carrots, and celery. Sauté for 3-4 minutes until softened.
Cook Chicken: Add diced chicken, salt, pepper, thyme, and rosemary. Cook for 5-6 minutes until lightly browned.
Thicken the Sauce: Sprinkle flour over the mixture and stir well. Cook for 1-2 minutes. Slowly pour in chicken broth and milk, stirring constantly. Simmer until thickened (about 3-4 minutes).
Add Peas & Gnocchi: Stir in frozen peas and gnocchi. Cover and let cook for 4-5 minutes, stirring occasionally, until gnocchi is tender.
Finish & Serve: Stir in cheese (if using) until melted. Garnish with fresh parsley and serve warm.
Preparing the Chicken and Vegetables