Creating this Chicken with Creamy Mustard Sauce is straightforward when you follow these clear steps:

1. Prepare the Chicken: Season chicken breasts with salt and black pepper on both sides.
2. Heat the Oil: In a large skillet, heat the olive oil over medium-high heat.
3. Cook the Chicken: Add the chicken breasts to the skillet and cook for 5-7 minutes on each side, or until they are golden brown and cooked through. Remove from the skillet and set aside.
4. Make the Sauce: In the same skillet, reduce the heat to medium. Add the chicken broth, scraping any browned bits from the bottom of the pan.
5. Add Mustard and Cream: Stir in the Dijon mustard and heavy cream, mixing well until combined.
6. Simmer the Sauce: Allow the sauce to simmer for 2-3 minutes, thickening slightly.
7. Return Chicken to the Pan: Place the cooked chicken breasts back in the skillet, coating them in the sauce. Heat through for about 2 minutes.
8. Garnish and Serve: Transfer the chicken to a serving plate and drizzle the sauce on top. Sprinkle chopped parsley for a fresh garnish.

Follow these steps, and you will have an incredible dish ready to impress!