Cook the potatoes in a pot with boiling water and salt, until they begin to fall apart. Drain with a colander and mash the potatoes until they form a puree.
Add butter, salt, pepper, milk, and parsley; stir and let cool.
Form the croquettes with the mashed potatoes, pass them through flour, wet them with beaten egg, and bread them with ground bread.
Heat enough oil in a skillet over medium-high heat and fry the croquettes until crisp and golden. Drain excess fat on a napkin.
Put some BBQ sauce in a small sauce and dip the potato croquettes there.