In a bowl, mix together the broccoli, cheddar cheese, cream cheese, garlic, paprika, salt, and pepper.
Cook Chicken:
Season the chicken breasts with salt and pepper.
In a large ovenproof skillet, heat olive oil over medium heat. Add the chicken and cook until golden brown on each side (about 4-5 minutes per side). Remove chicken and set aside.
Make Sauce:
In the same skillet, add chicken broth and scrape the bottom of the pan to deglaze. Stir in heavy cream and bring to a simmer.
Combine:
Mix cornstarch with water to create a slurry and stir into the sauce to thicken.
Return the chicken to the skillet. Spoon the broccoli and cheese mixture over each chicken breast.
Bake:
Transfer the skillet to the oven and bake for 10-15 minutes, or until the chicken is cooked through and the cheese is melted.