Brown Chicken: Pat chicken dry; season with 1 tsp salt & ½ tsp pepper. Melt butter in large pot over medium high heat. Brown thighs skin side down 4-5 mins, flip 1 min, remove. Brown drumsticks 2 mins per side; remove.
Cook Veggies: In same pot, add mushrooms, onion, bay leaf, thyme. Cook 5 mins until soft.
Make Roux: Add garlic; cook 30 sec. Add flour; cook 1 min, stirring.
Deglaze & Simmer: Add wine, scrape pot. Add broth, ¼ tsp salt & pepper. Stir. Return chicken to pot skin side up.
Simmer: Bring to simmer. Cover, simmer 10 mins. Uncover, simmer 20 mins until chicken is cooked (165°F).
Finish Sauce: Remove chicken. Stir cream into sauce. Simmer 2 mins. Taste, adjust seasoning.
Serve: Return chicken to sauce. Garnish with parsley. Serve over mashed potatoes, pasta, or rice.