Season the chicken on both sides with salt, pepper, and paprika, then set aside.
In a large skillet over medium-high heat, melt 2 tablespoons of butter. Add the chicken and cook about 5 minutes per side until browned. Transfer chicken to a plate, cover, and keep warm.
Use the same skillet to melt the remaining 2 tablespoons of butter. Add minced garlic and sauté until fragrant and lightly golden.
Whisk in the condensed cream of chicken soup and water, stirring until hot, smooth, and bubbling. Reduce heat to low.
Return chicken to the skillet along with chopped broccoli. Cover and simmer for about 10 minutes or until chicken is cooked through and broccoli is tender.
For firmer broccoli, add it later when the chicken is nearly done.
Serve warm over rice or pasta, garnish with fresh parsley, and lemon wedges if desired.