Process pecans and bread crumbs in a food processor just until a coarse mixture forms.
Season the fillet pieces with salt and pepper. Then dredge them in the flour, dip them in the egg, and coat them with the pecan mixture.
Add half the olive oil to a non-stick ovenproof skillet, over medium-high heat. Sauté the fish on 1 side until light brown. Turn and lightly brown the other side.
Place the filets, in a baking dish and bake at 400º for 10 minutes or until the fillet pieces flake easily. Remove the fish and place on a warm platter.
Wipe the skillet, and add the remaining oil to the skillet. Cook over high heat. Add lemon juice and parsley, stirring until combined.
Pour the sauce over the grouper and serve immediately.