Preheat oven to 350°.
Place hazelnuts on a baking sheet. Bake at 350° for 15 minutes, stirring once. Turn nuts out onto a towel. Roll up towel; rub off skins. Chop nuts.
Bring orange juice to a boil; pour over figs in a bowl. Let stand 15 minutes. Combine sugar, oil, rind, egg, and egg white; stir well with a whisk. Stir into fig mixture.
Lightly spoon flour into dry measuring cups; level with a knife. Combine flour, baking soda, and salt in a large bowl; make a well in center of mixture. Add fig mixture to flour mixture, stirring just until moist. Spoon batter into an 8 x 4-inch loaf pan coated with cooking spray; sprinkle with nuts. Bake at 350° for 45 minutes or until a wooden pick inserted in center comes out clean. Cool 10 minutes in pan on a wire rack; remove from pan. Cool completely on wire rack.