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1
Heat olive oil in a large pot over medium-high heat, and cook and stir the chicken until lightly browned but still pink inside, about 5 minutes. Set chicken aside. Reduce heat to medium, and melt the butter in the same pot; cook and stir the leek and onion just until starting to brown, about 8 minutes. Stir in the garlic, and cook until fragrant, about 1 minute, then stir in the carrot and celery. Cook the vegetables for 1 or 2 more minutes, and stir in the mushrooms; cook, stirring often, until the mushrooms have released their liquid and the juice begins to dry up, about 10 minutes.
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2
Pour in the white wine, and scrape pot to loosen and dissolve the brown flavor bits left in the bottom. Stir in the stock, and bring the mixture to a simmer. Season to taste with salt and black pepper.
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3
Knot a short piece of kitchen twine tightly around the sprigs of thyme, rosemary, tarragon, oregano, parsley, and bay leaves to make a tidy package, and place the herb bouquet into the pot.
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4
Mix in the chicken pieces, cover the pot, and allow to simmer very gently until the chicken is cooked through, about 30 minutes. Do not boil. For a thicker stew, whisk flour with water in a small bowl, and whisk into the simmering sauce; allow to thicken, about 3 minutes. Remove herb bundle before serving in bowls.