Pat the chicken pieces dry and cover generously with salt and pepper.
In a large deep pan or Dutch oven melt the butter over medium heat.
Add the chicken pieces and cook, turning occasionally until all sides have browned. Set aside.
Add shallot and garlic to the same pan and cook for 3 to 4 minutes or until shallots soften. Add sausages and cook until brown. Sprinkle flour in the pan.
Deglaze with white wine, cook for 3 to 4 minutes and add chicken broth.
Place the chicken pieces in the broth and add heavy cream. Season with salt and pepper to taste. Continue to simmer for 45 minutes.
Slice Brussels sprouts in half and brown in a separate skillet. Ten minutes before the chicken is cooked, add the Brussels sprouts.
Add lemon juice and continue cooking for 10 minutes.
Garnish with sliced lemon and serve with salad, mashed potatoes, or bread.