Start by trimming any excess fat from the chicken breasts. Season both sides with salt and pepper.
In a large skillet, heat 1 tablespoon of olive oil over medium-high heat. Add the chicken breasts and sear them for about 5-7 minutes on each side.
In a bowl, combine the peanut butter, zest and juice of the limes, crushed garlic, and chopped red chillies. Mix until well combined.
Once the chicken is cooked, reduce the heat to low. Pour the peanut sauce over the chicken and simmer for about 2-3 minutes.
Remove from heat, drizzle with extra olive oil, and serve hot with lime wedges or chopped herbs.