Brown the chicken: Melt 1 tablespoon of butter in a Dutch oven over medium heat. Add the chicken, Italian seasoning, onion powder, garlic powder, salt, and pepper. Stir and lightly brown for a few minutes. Remove the chicken and set aside.
Cook the rice: In the same Dutch oven, add the chicken broth and rice. Bring to a gentle simmer and cook uncovered for 6 minutes, stirring occasionally.
Add the broccoli: Stir in the broccoli and continue simmering for 9 minutes, until the rice is mostly tender and liquid is absorbed.
Rest the rice: Remove from heat, cover, and let sit for 10 minutes.
Make it creamy: Stir the chicken back in along with the heavy cream and half of the shredded cheese.
Bake: Transfer to a greased baking dish. Top with remaining cheese. Cover and bake at 375°F (190°C) for 15 minutes.
Add topping: Melt remaining tablespoon of butter and mix with crushed crackers. Remove foil, sprinkle topping over casserole, and bake uncovered for 10 minutes until golden.
Serve: Let cool slightly before serving.