In a large skillet over medium high heat, heat oil and add the chicken. Cook in batches on both sides until the chicken is cooked through, and reaches an internal temperature of 165°F/74°C. This should take 10-15 minutes.
Remove onto a plate, drizzle with the remaining buffalo sauce and set aside to rest before slicing. If you prefer to bake the chicken, preheat the oven to 400°F/200°C, and roast on a sheet pan for 20-25 minutes.