We wash the potatoes, dry them and we cut the ends From both sides. We heat the oil in a frying pan and place the potatoes on one of its sides. Fry over medium high heat for 5-7 minutes or until well browned at the base.
We flip, we fry for the other face for a couple more minutes. Then we add the butter and, when it has melted, add the garlic cloves, unpeeled, and the rosemary branches. Season to taste.
We water with the vegetable broth, cover the pan and cook On low heat for 20-25 or until potatoes are tender. We remove the potatoes from the pan and mash the sauce with the garlic cloves and the rosemary branches. We strain it and serve with the hot potatoes.