Dissolve yeast in a bowl with milk, then add flour, 4 tablespoons olive oil and 1 teaspoon of salt and knead into a smooth dough (use a dough hook on a hand mixer). Cover and let rise for 30 minutes in a warm place. Knead dough again and let rise for another 30 minutes.
Divide dough into eight portions each 60 grams and roll into flat cakes each about 10-12 cm (approximately 4-5 inches) in diameter. Place flatbreads on a baking sheet lined with parchment paper and brush each with 1-2 tablespoons olive oil. Coarsely chop 1 sprig rosemary. Grate Parmesan cheese. Sprinkle each flatbread with rosemary and Parmesan. Sprinkle with coarse sea salt.
Bake flatbreads in a preheated oven at 250°C (approximately 500°F) for 8-10 minutes. Remove from the oven, cover each flatbread with goat cheese and marinated olives, place on plates and serve garnished with remaining rosemary sprigs.