1. Bring a saucepan of water to a boil over high heat. Add escarole; cook 1 minute. Drain.
2. Heat 2 teaspoons oil in a skillet over medium-high heat. Sprinkle chicken evenly with salt and pepper. Add chicken; cook 2 minutes on each side or until done. Transfer to a plate.
3. Reduce heat. Add remaining 2 tablespoons oil and garlic; cook 1 minute. Stir in red pepper and onion; cook 1 minute. Remove garlic from pan; discard. Add escarole; cook 1 minute. Stir in fish sauce. Divide chicken among 4 plates; top with escarole, carrot, and cheese.