Season chicken with olive oil and poultry seasoning, then set aside.
Heat 2 tbsp olive oil in a skillet over medium heat. Cook chicken until golden brown, about 3 minutes per side, reducing heat to medium-low and adding remaining butter. Cook until chicken reaches 165°F, then remove from pan.
Sauté onions and celery in the same skillet until softened, then add garlic and cook for another minute.
Sprinkle flour over the vegetables and cook for 1-2 minutes. Gradually pour in chicken stock, scraping the bottom of the pan. Return chicken to the skillet and simmer for 8-10 minutes.
Stir in sour cream and season with salt and pepper to taste.
Serve the smothered chicken over mashed potatoes or rice.
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Notes
For cheesy mashed potatoes, consider adding shredded cheese and garlic powder!