In a large skillet, heat the vegetable oil over medium heat. Add the chicken pieces, season with garlic salt and pepper, and cook for about 5-7 minutes until no longer pink.
Add the broccoli florets to the skillet and stir for an additional 2-3 minutes until softened.
In a large bowl, combine the chicken and broccoli mixture with uncooked rice, chicken broth, cream cheese, milk, and Italian seasoning. Stir until well mixed.
Preheat the oven to 350°F (175°C). Pour the mixture into a greased baking dish and spread evenly.
Cover with aluminum foil and bake for 30 minutes. Remove foil, sprinkle cheese on top, and bake for an additional 10-15 minutes until bubbly and golden brown.