When time is tight, nothing beats a 30-minute meal made in a single skillet.
Preheat oven to 425 degrees. In a large skillet, heat oil over high. Season chicken with salt and pepper and cook, skin side down, until deep golden, 8 to 10 minutes. Flip chicken and remove pan from heat. Tilt pan slightly and carefully remove fat with a spoon. Return pan to heat and add garlic, vinegar, sugar, and red-pepper flakes. Bring to a boil, then transfer pan to oven. Bake 17 minutes. Add snap peas and half the basil and bake 5 minutes more. Remove from oven, sprinkle with remaining basil, and serve.