1. 1. Preheat oven to 350°F (175°C).

2. 2. Peel and slice the potatoes into thin rounds.

3. 3. Heat olive oil in an oven-safe skillet over medium heat. Add sliced potatoes and cook until golden brown, stirring occasionally.

4. 4. While the potatoes are cooking, beat eggs in a large mixing bowl. Add salt and pepper to taste.

5. 5. Once the potatoes are cooked, remove them from the skillet and add them to the egg mixture. Stir until well combined.

6. 6. Drain anchovies and chop into small pieces. Add them to the egg mixture along with shredded American cheese. Mix well.

7. 7. Pour the egg mixture back into the skillet and cook for a few minutes over medium heat until the bottom is set.

8. 8. Transfer skillet to preheated oven and bake for 10-15 minutes or until fully set.

9. 9. Remove from oven and let cool for a few minutes before slicing into wedges and serving.