On medium heat, brown the cut chicken in a large pot (you may use a tbsp of oil if desired and if you want to add any spices now is the time (I like adding taco seasoning here))
Once the chicken is browned, push it to the side of the pot using a spatula
In the grease of the chicken, toast the rice on the empty side of the pot for about a minute
Once the rice is toasted, pour in 2 cups of chicken broth and stir it in until well-combined with the chicken and rice
Now bring the pot to a simmer and cover and cook for 24 minutes
Prepare a casserole dish. and after the dish has been cooking for 24 minutes add it to the casserole dish, mix in the broccoli and remaining 1 cup of chicken broth
Bake in the oven for 30 minutes (topping it with cheese just 5 minutes before it's done)
Let sit and thicken for 10-20 minutes outside of the oven.