Peel the potatoes, cut them into smaller pieces, and boil in salted water until tender, about 20 minutes.
Drain the cooked potatoes, mash them in a bowl, and let them cool completely.
Add the flour, egg yolk, and a pinch of salt to the cooled potatoes, then knead into a soft, homogeneous dough.
Divide the dough into four parts, roll them into approximately 2 cm thick logs, and then cut into small pieces. Gently press with a fork to give the gnocchi their characteristic pattern.
Bring a large pot of water to a boil, then add the gnocchi in smaller batches. As soon as they float to the surface (about 2 minutes), drain them and set aside.
Melt the butter in a skillet, then add the finely chopped cooked ham and sauté over medium heat for 3-4 minutes.
Pour in the heavy cream and stir thoroughly. Heat for a few minutes to allow the flavors to meld.
Add the cooked gnocchi to the pan and toss to coat with the creamy ham sauce.
Before serving, sprinkle with grated Parmesan cheese, fresh parsley, and freshly ground black pepper.
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