1. Peel the potatoes and cut them into a small dice. Rinse the potatoes thoroughly and dry them on a clean kitchen towel.
2. Heat the vegetable oil in a frying pan for a minute or two over medium high heat. Add in the potatoes and fry until golden brown. You will need to turn the potatoes with a spoon or spatula to cook on all sides.
3. While the potatoes are crisping, peel and dice the carrot and parsnip and chop the shallot finely. Once the potatoes are golden brown, remove them from the pan and set them aside on a plate. In the same pan, toss the shallots in the leftover oil and cook for a minute, then add the diced carrots and parsnips. Cook for two more minutes.
4. While the root vegetables cook, dice the red pepper. Peel and dice the apple. Note: I like to have the apple diced slightly larger than the root vegetables to highlight it. Toss the red pepper and apple in with the rest of the vegetables and add salt and pepper to taste. If you are using dried herbs, sprinkle 1 tsp. of herbes de Provence in now. Add the potatoes back into the pan and stir it all together. Remove the hash to a serving dish. If you are using fresh herbs, mince them.
5. Top with a drizzle of honey and, if you are using fresh herbs, sprinkle them on top of the hash. You can use as much as a whole Tbsp. or less to taste. If you are serving this as a main course, I suggest adding some crumbled goat cheese or grated Comté cheese. For breakfast, you can top it with a fried egg.