Start by seasoning the chicken breasts with salt and pepper on both sides. The seasoning is essential to enhance the natural flavors of the chicken. Once the chicken is seasoned, lightly coat each breast in flour. This helps create a crispy golden crust when searing and thickens the sauce later.
Heat the olive oil in a large skillet over medium-high heat. Once the oil is hot, carefully place the chicken breasts in the skillet and cook for 5-6 minutes per side, or until the chicken is golden brown and cooked through. Searing the chicken adds flavor and texture. Remove the chicken from the skillet and set it aside on a plate.
In the same skillet, add the chopped onion and minced garlic. Sauté for 2-3 minutes, or until the onion is soft and translucent. This step adds sweetness to the sauce and brings out the flavors of the garlic. Once the onion and garlic are cooked, pour in the chicken broth, scraping the bottom of the pan to release any flavorful bits (fond). Add the heavy cream, paprika, and thyme, stirring to combine.
Return the chicken to the skillet, spooning some of the sauce over the top of the chicken. Lower the heat to medium and simmer for 5-10 minutes, or until the chicken is fully cooked and the sauce has thickened. The sauce will absorb into the chicken, making it flavorful and creamy. If the sauce is too thick, you can add a little more broth to reach your desired consistency.
Once the chicken is cooked and the sauce has thickened, garnish with freshly chopped parsley. The parsley adds a burst of color and a refreshing note to balance the richness of the sauce. Serve your smothered chicken with mashed potatoes, rice, or any side of your choice to enjoy the creamy sauce.