Preheat oven to 450 degrees.
Rinse broccoli under cool running water. Shake broccoli to remove excess water. Cut tough outer skin off of broccoli stem and discard. Cut one inch off of the end of the broccoli stem and throw the end piece away. Place broccoli on cutting board and cut broccoli lengthwise, into edible pieces. Pour some extra virgin olive oil on cookie sheet and spread evenly with a paper towel to coat. Lay broccoli pieces on cookie sheet and set aside.
In a bowl, mix bread crumbs, garlic, Parmesan cheese, salt to taste and enough extra virgin olive oil to moisten bread crumb mixture. Sprinkle bread crumb mixture on broccoli crowns, working the bread crumb mixture into the spaces in each piece. After all the bread crumb mixture has been evenly distributed, drizzle some extra virgin olive oil onto all the broccoli pieces.
Bake in oven until bread crumbs are almost burnt.