1. Preheat the oven to 180°C (350°F).
2. Peel and grate the carrot.
3. Clean and cut the zucchini into cubes without peeling it.
4. In a pan with hot olive oil, sauté the vegetables for 8 minutes over medium heat.
5. Add the Reblochon cheese in pieces and continue cooking for 2 minutes, stirring well.
6. Grease and flour a loaf pan and pour the mixture into it.
7. Remove the pan from the heat.
8. In a bowl, mix the eggs, flour, and melted butter. Add the baking powder, then incorporate the vegetables with cheese and chopped parsley. Season with salt and pepper to taste and mix well.
9. Bake for 45 minutes. Check the doneness of the cake with the tip of a knife. It should come out clean and dry.
10. Let it cool on a wire rack after removing from the oven.
11. Serve warm or cold with a dressed green salad.