Position a rack in the center of the oven and preheat the oven to 425ºF. Spread the broccoli florets in an even layer in a baking sheet, set aside.
In a medium bowl, combine 3 tablespoons of olive oil, garlic, red pepper flakes, thyme, salt, and pepper. Zap the mixture in the microwave for 20-30 seconds stopping half way to give it a stir. Drizzle the garlic infused olive oil on the broccoli and toss the broccoli to coat. Roast for 11-14 minutes or until it reaches desired doneness. While the broccoli is roasting, prepare the toasted panko.
Heat the olive oil in a small skillet over medium heat. When oil is hot, add the panko and allow it to toast for 2-4 minutes or until the panko turns light golden brown. Be sure to keep an eye on it and toss or stir every 30 seconds to keep from burning.
When the broccoli is done, sprinkle with parmesan cheese and toasted panko, serve warm!