Preheat the oven to 350 degrees F. In a small bowl mix together olive oil and all seasonings. Set aside.
Rinse broccoli under cool water and lay on paper towels. Roll up and gently press to absorb all moisture on the outside. Lay on a plate. Drizzle seasoned olive oil on the top and gently spread on all sides of each piece so they are nicely coated.
Line sheet pan with parchment paper or spray with non stick spray.
Lay broccolini pieces on top in a single layer. Bake for 7-10 minutes or until fork tender. Serve with a sprinkle of parmesan cheese.