Place all ingredients into a large plastic bag. Using your fingers, massage well into broccoli florets. Refrigerate for 30 minutes to 24 hours.
Remove from the bag, shaking off excess oil. Too much oil on the florets will produce large flames that can be dangerous on the grill.
Heat the grill to medium-high heat. Place florets on indirect heat, the top rack if you have it, or one side that is not lit . Cook 5-10 minutes on each side or until lightly charred. Cooking times vary greatly depending on the size of your florets. Move those cooking faster to the top grate to keep warm. Serve immediately.
Remove from grill and serve immediately.
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