Add chicken to a skillet over medium heat with olive oil or cooking spray.
Cook for 7-8 minutes until the pieces begin to brown. Then set aside on a plate.
Add the garlic, onion and 3 tablespoons of the broth to the skillet and stir for 5 minutes.
Stir in paprika and cook for one more minute and then stir in the remaining broth, broccoli and chicken. Bring the mixture to a boil and reduce the heat to simmer for 20 minutes. While simmering make the linguine.
Stir the sour cream into the chicken. Cook for 1-2 minutes more.