Mix the dry stuff - In a large bowl, combine 4 cups flour, yeast, sugar, and salt. Stir it all together.
Warm the milk - In a small pot, melt 1/2 cup butter. Add milk and warm until it feels like a warm bath on your wrist (110-115°F).
Make the dough - Pour warm milk into flour mixture. Beat with a mixer for 5-7 minutes until smooth. Add eggs and beat until well mixed.
Add more flour - Slowly add remaining flour, one cup at a time. Stop when dough pulls away from the bowl but still feels slightly sticky.
Let it rise - Put dough in an oiled bowl, turning to coat all sides. Cover with a towel and let rise in a warm place for 1 hour until doubled.
Shape the rolls - Turn dough onto counter and divide into 32 pieces. Flatten each piece, put a cheese cube in center, and pinch tightly to seal.
Second rise - Place rolls on parchment-lined baking sheets. Cover and rise 30 minutes.
Make garlic butter - While rolls rise, melt 1/4 cup butter with minced garlic. Mix Parmesan and parsley in a small bowl.
Bake them - Preheat oven to 350°F. Bake 18-20 minutes until golden brown.
Finish perfectly - Brush hot rolls with garlic butter and sprinkle with Parmesan mixture. Serve warm!