1. Preheat the oven to 200°C (392°F).
2. Peel and cut the carrots into sticks, then pre-cook them in boiling salted water for about 15 minutes, then drain them.
3. Cut the bell pepper into small cubes and add them to the carrots in a saucepan with olive oil.
4. Sauté over high heat for 10 minutes, stirring occasionally to prevent sticking, then add the minced shallots.
5. Continue cooking for 5 minutes, then season with salt, pepper, and parsley.
6. Place the hake fillets in an ovenproof dish and drizzle them with lemon juice.
7. Cover the fish with the small vegetables, also drizzling them with lemon juice.
8. Cover with a sheet of aluminum foil and bake for 30-35 minutes.