10 Fruit And Vegetables You Should Never Peel ByAnna Hartley, 11/20/2017 Gourmandize shares Share on Facebook Share on Twitter Pin it Share on WhatsApp Share on Google+ 9/11 Previous Next Carrot Put down that peeler! If you thoroughly wash your carrots, there is no need to peel them. Carrots are a rich source of antioxidants, Becarotene and Vitamins A. Time to bake a delicious carrot cake, we think!