Follow these simple steps to create your delicious Creamy French Chicken Tarragon:

1. Prepare Chicken: Season the chicken breasts with salt and pepper on both sides.
2. Heat Oil: In a large skillet, heat olive oil over medium heat.
3. Cook Chicken: Add the chicken breasts to the skillet and cook for about 6-7 minutes on each side, or until golden brown and cooked through. Remove the chicken from the skillet and set aside.
4. Sauté Onions: In the same skillet, add the chopped onion and sauté for 3-4 minutes until softened. Then add the minced garlic and cook for an additional minute.
5. Add Liquids: Pour in the chicken broth and heavy cream, stirring to combine.
6. Incorporate Mustard: Add the Dijon mustard and mix well to incorporate.
7. Season Sauce: Stir in the chopped tarragon and lemon juice, allowing the sauce to simmer for 5 minutes until slightly thickened.
8. Return Chicken: Place the chicken back into the skillet, spooning the sauce over it. Let it simmer for an additional 2-3 minutes to heat through.
9. Garnish: If desired, garnish with fresh tarragon sprigs before serving.

With these steps, you’ll confidently create a dish that is sure to delight anyone who tries it.