Heat the vegetable oil in a large skillet over medium heat.
Add the chopped onion and sauté until translucent, about 5 minutes.
Sprinkle the paprika and smoked paprika over the onions and stir well to combine, cooking for 1 minute to release the flavors.
Add the chicken pieces to the skillet and season with salt and pepper. Cook until lightly browned on all sides, about 5-7 minutes.
Pour in the chicken broth, bring to a boil, then reduce heat to low and cover. Simmer for 20 minutes or until the chicken is cooked through and tender.
In a small bowl, mix the sour cream and flour until smooth.
Temper the sour cream mixture by slowly stirring in a few tablespoons of the hot cooking liquid to warm it.
Gradually stir the tempered sour cream mixture back into the skillet, blending well to create a creamy sauce. Heat gently for 5 more minutes, but do not boil to prevent curdling.
Adjust seasoning with salt and pepper as needed.
Serve hot over cooked egg noodles or rice, and garnish with chopped fresh parsley.