Heat oven to 350°.
Place the sliced almonds on a baking sheet and toast in the oven for 6 to 7 minutes, or until lightly browned.
In a shallow pan, combine the flour, salt, and pepper. Lightly dredge the fish fillets in the flour mixture and set aside. In a large nonstick skillet, heat 2 tablespoons of the oil over medium-high heat. Leaving enough room to turn the fillets, brown them until golden, about 1 to 2 minutes per side. Transfer the fish to a plate and cover with foil to keep warm. Repeat until all the fish is cooked, using the remaining oil if necessary.
Increase the heat to high and add the wine, parsley, and almonds. Bring to a boil and cook for 1 minute. Turn off the heat and add the butter. Stir with a wooden spoon until all the butter melts and the sauce slightly thickens. Adjust the seasoning, if necessary, with salt and pepper. Serve the sauce over the fish.