How to Make It
In a small skillet, toast the sesame seeds over moderate heat, stirring a few times, until golden, 3 minutes. Transfer to a plate.
Heat a grill pan and preheat the oven to 425°. Gently and generously brush the mushroom wedges with olive oil and season with salt and pepper. Grill the mushrooms in batches over moderately high heat, turning occasionally, until browned and crisp, about 8 minutes per batch. Transfer the wedges to a large rimmed baking sheet and reheat for about 4 minutes. Arrange the mushrooms on a platter. Sprinkle with the parsley and sesame seeds and serve with lime wedges.