Season the chicken well with salt and pepper. In a large Dutch oven or heavy-bottomed pot, heat olive oil and butter over medium-high heat.
Brown the chicken on both sides (about 5–6 minutes per side). Work in batches if needed. Set aside.
In the same pot, add shallots and garlic. Sauté for 2–3 minutes until just golden.
Deglaze with wine. Pour in the white wine and let it bubble for a few minutes, scraping the browned bits from the bottom.
Add broth and herbs. Stir in the chicken broth, thyme, and bay leaf.
Return the chicken to the pot. Reduce heat to low, cover, and simmer for about 35–40 minutes, until the chicken is tender.
Optional: stir in cream during the last 5 minutes for a silkier sauce.
Serve with love. Sprinkle chopped parsley on top and serve with crusty bread, mashed potatoes, or buttered egg noodles.