Place broccoli in a medium saucepan with enough water to cover. Cover and bring to a boil. Cook 5 minutes. Uncover and continue cooking 2 to 3 minutes, until tender. Remove from heat, drain and cool.
In a large bowl, mix broccoli, stuffing mix, Parmesan cheese, onion, eggs, butter, pepper and garlic salt and hot sauce if using. Cover and chill in the refrigerator approximately 1 hour, until moisture has been absorbed.
Preheat oven to 325 degrees.
Thoroughly mix chilled batter and roll mixture into 1-inch balls and arrange on a medium baking sheet. Bake 15 to 20 minutes in the preheated oven, until browned. Makes 36 appetizers. Enjoy!