Char red peppers over an open flame or under hot broiler. If broiling, leave oven door ajar to allow some of the steam to escape. Place charred peppers in a bowl, cover with plastic wrap and cool. Peel and seed then quarter lengthwise. Slice and reserve.
Bring a large pot of water to a boil for the pasta.
Heat 1 tablespoon EVOO, a turn of the pan, in a skillet over medium-high heat. Season chicken liberally with salt and pepper then add chicken pieces to the skillet in a single layer. Brown evenly on both sides, 5-6 minutes total, then remove to plate.