Sprinkle the chicken with salt and pepper. Heat the oil in a heavy large frying pan over medium-high heat. Add the chicken and cook until golden brown, about 5 minutes per side. Remove the skillet from the heat. Stir in the garlic, olives, 3 tablespoons of parsley and capers. Add the wine. Bring to a boil. Reduce the heat to medium-low. Cover and simmer until the chicken is just cooked through, turning occasionally, about 10 minutes.
Transfer the chicken mixture to a platter. Spoon the sauce over. Sprinkle with the remaining 1 tablespoon of parsley and serve.
Combine the oil and crushed red pepper flakes in a heavy small saucepan. Cook over low heat until a thermometer inserted into the oil registers 180 degrees F, about 5 minutes.
Remove from heat. Cool to room temperature, about 2 hours. Transfer the oil and pepper flakes to a 4-ounce bottle. Seal the lid. Refrigerate up to 1 month.