Peel and chop the potatoes. Boil them in salted water until tender, then drain well.
Mash the potatoes with the butter while still warm.
Add the grated carrot, chopped parsley, grated cheese, salt, and black pepper. Mix everything together until fully combined.
Shape the mixture into sticks or logs using your hands.
Place the sticks on a baking tray lined with parchment paper.
Bake in a preheated oven at 200°C (390°F) for 15–20 minutes, or until the sticks are lightly golden and hold their shape.
Let cool slightly before serving. Serve warm or at room temperature with a dip of your choice.