Heat olive oil in a large skillet over medium-high heat. Add chicken breasts and cook for about 5 minutes on each side until golden brown and cooked through. Remove from skillet and set aside.
In the same skillet, melt butter over medium heat. Add chopped onion and sauté for 4 minutes until translucent. Stir in minced garlic and cook for another minute.
Pour in chicken broth, scraping up any browned bits from the skillet. Let it simmer for 3 minutes.
Stir in heavy cream, Dijon mustard, whole grain mustard, and thyme. Allow the sauce to simmer for 5 minutes until slightly thickened.
Return chicken to the skillet, coating each piece with the sauce. Simmer for an additional 5 minutes until heated through.
Garnish with chopped parsley before serving.
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Notes
Store leftovers in an airtight container in the refrigerator for up to 3-4 days.