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Heat 3 Tablespoons butter in a large skillet over medium-high heat.
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Add chicken to hot skillet and sauté until golden brown on both sides (approximately 2 minutes per side).
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Remove chicken to clean plate and cover with a foil tent to keep warm.
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Add remaining 3 Tablespoons of butter to skillet and heat until foamy.
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Add diced shallot and sauté until softened, approximately 2 minutes.
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Add wine and chicken stock and deglaze skillet.
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Add garlic and bring to a boil.
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Boil until liquid is reduced to 1/2 of a cup.
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Whisk in cream and mustard and then cook until sauce is slightly thickened.
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Add tarragon, thyme, salt and pepper and stir to combine.
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Return chicken breasts and juice to the skillet and cook approximately 5 minutes longer, being careful not to overcook the chicken.
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Serve chicken breast with sauce.
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Garnish with chopped tarragon (optional).