Preheat your oven to 375 Fahrenheit and grease a 9x13 casserole dish.
Fill a large pot with water and bring it to a boil. Once boiling, toss in your broccoli and boil until it is still crisp but beginning to soften, about 3-4 minutes. It will continue to soften when you bake the casserole, but this step helps ensure you won't have hard broccoli when it comes out of the oven.
Drain your broccoli and rinse with cold water to stop the cooking process while you assemble everything else. Remove all excess water by laying it out on a hand towel or spinning in a salad spinner.
Add the rice, chicken, and broccoli to your casserole dish and gently mix until everything is incorporated in an even layer.
In a small bowl, mix together the softened cream cheese and cream of chicken soup until combined. This helps prevent lumps of cream cheese. Stir in the broth, seasonings, and one cup of shredded cheddar cheese, until everything is well mixed. Evenly pour the sauce over the chicken, broccoli, and rice, and mix it together until the sauce is thoroughly incorporated with everything else.
Top with the remaining ¾ cup of cheddar cheese and bake in the oven for 15-20 minutes until the dish is hot and all the cheese is melty.
Allow to cool for 10 minutes, then garnish with fresh parsley and serve.