Preheat oven to 400 Degrees F. Trim brussels sprouts so that you remove any brown/yellow leaves or spots. Toss trimmed sprouts in bowl with olive oil, salt and pepper.
On a cookie sheet, arrange the sprouts in a single layer and roast for 40-45 minutes, or until well caramelized and the outer layers are crispy. Stir the sprouts occasionally so they roast evenly.
Remove sprouts from oven and sprinkle them with a liberal amount of kosher salt. Serve right away!