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Season chicken with salt and pepper, then dredge in flour and shake off any excess.
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In a large skillet, heat olive oil and melt the butter on medium heat. Swirl pan to coat with oil and butter evenly.
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Brown the chicken (do not overcrowd and work in batches if needed) for 4-5 minutes on each side or until golden brown and cooked through. Transfer onto a plate and set aside.
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Sauté the garlic for a minute or until it's fragrant. Add the chicken stock and deglaze the pan scraping any bits stuck to the bottom of the pan with a wooden spoon.
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Adjust the heat to medium-low and add the heavy cream, parmesan cheese, and the sundried tomatoes to the skillet. Allow the sauce to simmer for a couple of minutes, then season with chili flakes, thyme, and oregano.
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Season with salt and pepper to your taste, then put the chicken back in the sauce and let the sauce simmer and thicken for about 4 more minutes.
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Garnish with chopped fresh basil leaves and serve warm over pasta or rice.