Thinly slice the chicken breasts crosswise to ensure even cooking. Place slices in a large mixing bowl.
Pour lime juice over the chicken slices and sprinkle with salt and pepper. Toss gently to coat all pieces evenly. Let marinate for 5-10 minutes, until chicken begins to turn opaque around the edges.
Heat a skillet or grill pan over medium-high heat. Add a teaspoon of oil if using a skillet. Wait until the pan is hot and begins to shimmer.
Add the marinated chicken to the pan in a single layer. Cook for about 3-4 minutes on each side, until golden brown and cooked through. You should see a slight caramelization on the edges and hear a gentle sizzle.
Once cooked, transfer the chicken to a serving plate. Sprinkle chopped cilantro over the top and serve immediately, allowing the flavors to meld and the herbs to retain their bright color.