Steam the broccoli in a medium pot by bringing about 1 inch of water to a boil. Place the steamer basket with the cut broccoli in the pot. Cover and steam for about 3 minutes, until the broccoli is bright green, and firm-tender.
Remove from heat and run the broccoli under cold water to stop the cooking process. Make sure the water drains out.
Heat a medium-sized frying pan over medium heat. Add the oil, broth, garlic, and red pepper flakes. Heat for about 1 minute, until the sauce is very fragrant and bubbling.
Add the steamed broccoli and toss with the sauce, cooking briefly until the broccoli is heated through. Immediately place in a serving dish and sprinkle with Reggiano Parmesan cheese.