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Cut the chicken into about 20 1-2-inch pieces. Cut the slices of bacon in half. Wrap a slice of bacon around each chicken piece and sprinkle both sides with the salt, pepper and herbs de Provence.
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Heat butter and olive oil in a large skillet over medium high heat. Add the chicken to the pan. Cook for 5 minutes.
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Flip the chicken pieces, cover and cook for 10 minutes.
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Remove the chicken from the pan. Add the shallots and mushrooms and sauté for 1-2 minutes, until tender.
Add the cognac and cook for about 1 minute, until most of the liquid evaporates.
Add the cream or milk to the pan and cook until the sauce thickens.
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Return the chicken to the pan and toss to coat.
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Serve the medallions over rice or noodles, ladling the mushroom sauce on top.