Prepare the potatoes: Heat 1 tablespoon of olive oil in a large skillet over medium heat. Add the diced potatoes and cook for about 10-15 minutes, stirring occasionally, until they are golden and tender. You may cover the pan for the first few minutes to help them cook through.
Add garlic and zucchini: Once the potatoes are cooked, add the garlic and the remaining olive oil or butter to the skillet. Stir for a minute until fragrant, then add the zucchini slices. Cook for 5-7 minutes, stirring occasionally, until the zucchini softens and slightly browns.
Season the dish: Sprinkle in the oregano (or thyme), and season with salt and pepper to taste. Stir well to combine all the flavors.
Serve: Garnish with fresh chopped parsley for a burst of color and freshness, and serve immediately.
