Position a rack in the middle of the oven; preheat to 375°F.
In a 10- to 12-inch ovenproof skillet, add the EVOO, three turns of the pan, and swirl to coat the entire surface, using a paper towel to reach the edges. Heat over medium. Add the onion, garlic and thyme; season with salt and pepper. Cook, stirring often, until onion softens, 6-7 minutes.