Pat the chicken breasts dry with paper towels to remove excess moisture, then place them on a cutting board.
Using a sharp knife, make 3-4 shallow slashes across each chicken breast to help the herbs and marinade penetrate deeper.
In a small bowl, mix chopped thyme, rosemary, lemon zest, and 1 tablespoon of olive oil to create a fragrant herb paste.
Rub the herb mixture all over the chicken breasts, pushing some into the slashes for maximum flavor.
Preheat a cast iron skillet over medium-high heat until hot, and add 1 tablespoon of olive oil. You should hear a gentle sizzle when the oil hits the pan.
Place the chicken breasts in the skillet. Sear for 3-4 minutes on each side until golden brown and crispy.
Reduce the heat to medium, cover the skillet with a lid or foil, and cook for an additional 8-10 minutes, until the chicken is cooked through and juices run clear.
Check doneness with a meat thermometer; the internal temperature should reach 75°C (165°F) at the thickest part.
Remove the chicken from the skillet and let it rest for 5 minutes, allowing the juices to redistribute and keep the meat tender.
Slice the chicken breasts, then drizzle with the pan juices or a squeeze of fresh lemon for added brightness.
Serve the herb-infused chicken hot, enjoying the crispy exterior and juicy, flavorful interior.