Prepare broccoli: Divide broccoli into florets and cook in lightly salted water or steam for about 5 minutes. Let cool completely and chop very finely.
Make the mixture: Place broccoli, cheese, egg, breadcrumbs, flour, onion, garlic, and spices in a bowl. Mix well until a firm, moldable mixture forms.
Shape nuggets: Shape the mixture into small nuggets and roll them in breadcrumbs.
Bake: Arrange nuggets on a parchment-lined baking tray. Brush lightly with oil and bake at 200°C (400°F) for about 20 minutes, turning halfway, until golden and crispy.
Alternative method: Pan-fry the nuggets in a small amount of oil over medium heat until golden on both sides.