Heat the oven to 400 degrees F.
Season the salmon with salt and pepper on both sides. Heat the oil in an ovenproof nonstick skillet over medium-high heat. When the oil is hot, add the salmon skin side down. Put the pan into the oven and roast until the salmon is cooked medium-rare, about 12 to 15 minutes. Serve garnished with cilantro leaves and lime wedges.