In a small bowl, mix together the flour, Italian seasonings, salt and pepper. Coat each of the chicken breasts in the flour mixture. Place into baking dish.
Drizzle the olive oil and marsala cooking wine over the coated chicken breasts.
Top the chicken with the sliced mushrooms. Bake at 350 for 50-60 minutes, or until chicken has cooked all the way through. Cooking times may vary depending on thickness of the chicken breast.
Cook the rice according to package directions.
Steam the broccoli in stove-top steamer or in a microwavable bowl with 1/4 cup of water, covered with plastic wrap, for 4-5 minutes.
Serve Baked Chicken Marsala with Rice and Steamed Broccoli.