Preheat the oven to 350°F (175°C).
In a large bowl, combine the chicken broth, quick-cooking rice, softened cream cheese, chopped green chiles, garlic powder, ground cumin, salt, and black pepper. Stir until evenly combined and the cream cheese is incorporated.
Spread the rice mixture evenly in a large casserole dish.
Arrange the trimmed chicken breasts evenly on top of the rice mixture and gently press them down so they contact the mixture.
Sprinkle the shredded Monterey Jack cheese over the top of the casserole.
Bake on the middle oven rack for 40–50 minutes, or until the chicken reaches 165°F (74°C) internal temperature and the rice is tender.
Remove from the oven and let rest briefly. Serve with whole chicken breasts or shred the chicken and mix it into the rice before serving. Sprinkle chopped cilantro over the top.