Heat olive oil in a skillet over medium-high heat. Sear the chicken breasts for about 5 minutes on each side until golden brown. Remove from the skillet and set aside.
In the same skillet, reduce heat and add butter. Once melted, add chopped onion and sauté until golden brown, about 3-4 minutes. Stir in minced garlic and cook for an additional minute.
Pour in chicken broth and scrape any bits stuck to the bottom of the skillet. Allow to simmer for about 3 minutes.
Stir in heavy cream, Dijon mustard, whole grain mustard, and thyme. Let simmer for another 5 minutes.
Return chicken to the skillet, coating it with the sauce. Heat through for about 5 minutes.
Garnish with fresh parsley before serving.
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Notes
This dish pairs well with rice, mashed potatoes, or crusty bread.