Heat 2 tablespoons of the oil in a large skillet over medium heat. Place 2 trout in the pan, crust side down, and cook until golden brown, 2 to 3 minutes. Turn and cook until fish is opaque in the center and just cooked through, 2 to 3 minutes. Transfer the trout to the prepared baking sheet, crust side up. Place the baking sheet in the oven. Repeat the process with the remaining 2 tablespoons of oil and the remaining
2 trout fillets. Transfer to warmed serving plates and serve immediately, garnished with the lemon.