This French classic highlights the simply delicious flavors of delicate almond-crusted white fish, nutty browned butter, bright lemon, and fresh parsley.
Pat the fish dry with paper towels, and season both sides of the fish with salt and pepper.
Place the almond flour on a large plate. Dredge the sole on both sides in the almond flour.
In a large nonstick skillet over medium-high heat, heat the olive oil and half of the butter. Swirl the skillet until the butter starts to foam and brown flecks appear, about 1 minute. Reduce the heat to medium to keep the fat sizzling but not burning, then add the fish fillets and fry until browned on each side, 2-1/2 minutes per side, 5 minutes total. Transfer the fish to 2 dinner plates, reserving the skillet.
Meanwhile, in a medium pot with a lid, bring to a boil 1 inch of water and 1/2 teaspoon salt. Add the green beans, cover, and let steam for 4 minutes. Drain, then divide the beans between dinner plates.
Add the remaining butter and the lemon juice to the reserved skillet, whisk over medium heat for 2 minutes, then stir in the parsley. Pour the sauce over the fish and green beans. Enjoy!