– In a medium bowl, season chicken with salt and pepper and toss with 1/2 cup flour.
– Heat 1 tablespoon olive oil in a large pot or Dutch oven over medium-high heat. Add chicken and cook until outsides are browned, stirring occasionally, 3-5 minutes. Remove to a plate and set aside.
– Reduce heat to medium and add remaining olive oil and butter. Add carrots, celery, and onion and cook until softened, about 5 minutes.
– Stir in broth, thyme, bay leaves, and chicken. Bring to a simmer, then stir in cream and peas and season to taste with salt and pepper.