Prep the Chicken: Start by placing the chicken breasts between two sheets of plastic wrap. Gently pound them to an even thickness (about 0.75 inch) using a meat mallet or rolling pin. This helps them cook evenly.
Marinate the Chicken: In a small bowl, mix the minced garlic, lemon zest, lemon juice, chopped tarragon, salt, and black pepper. Add the chicken breasts to a resealable plastic bag or a shallow dish, pour the marinade over the chicken, and ensure they are well coated. Let it marinate in the refrigerator for at least 15 minutes, or up to 2 hours if time allows.
Sear the Chicken: Heat olive oil in a large skillet over medium-high heat. Once hot, add the marinated chicken breasts to the pan. Sear for about 5-7 minutes per side, or until they are golden brown and cooked through. The internal temperature should reach 165°F (75°C). Remove the chicken from the skillet and set aside.
Make the Sauce: In the same skillet, pour in the chicken broth, scraping any browned bits from the bottom of the pan for extra flavor. Bring to a simmer and let it reduce slightly, about 2-3 minutes. Stir in the butter until melted and smooth, incorporating all the flavors.
Combine and Serve: Return the chicken to the skillet, spooning the sauce over the top to coat. Cook for an additional 1-2 minutes to heat through. Adjust seasoning if needed.
Plate and Garnish: Serve the chicken breasts on a plate, drizzled with the luscious lemon tarragon sauce. Garnish with fresh tarragon sprigs, if desired, and enjoy!
Notes
For best flavor, marinate the chicken for at least 15 minutes.