Grease 9 wells of a muffin tin with cooking spray or oil. Set aside.
In bowl of stand mixer, add flour, yeast, sugar, baking powder, salt, egg, water, and oil.
Mix on medium speed about 1 minute, until dough is smooth. It should be too sticky to handle with your hands.
Add Italian seasoning and parmesan cheese, and mix until combined.
In a small bowl, melt 1 Tablespoon of butter. Stir in garlic salt.
Rub a small amount of the garlic butter onto your hands, pinch off about a 1 Tablespoon size ball and roll it into a ball between your hands.
Place 3 of these balls side-by-side in each well of the muffin tin. They should be pretty cozy and fill a large portion of the well.
Cover the rolls loosely with plastic wrap and allow to rise in a warm place. I heat the oven to 100 degrees F, then turn it off and put the rolls inside to rise. It should take about 20 minutes and the rolls will be fluffy and almost doubled.
Preheat oven to 350 (remove rolls first if they were rising inside).
Remove plastic wrap and bake about 15 minutes, until rolls are a light golden brown and done inside.
Allow to cool for 30 minutes before serving.