Preheat the oven to 400°F (200°C).
Place the chicken legs in a baking pan and coat with the melted butter. Season with a pinch of salt and black pepper and roast for 30 minutes.
Remove from the oven and add the oregano and thyme to the juices in the pan. Toss to coat the chicken again.
Return to the oven, adding a bit of water if needed and roast for 10-15 more minutes.
In the meantime bring a pot of salted water to a boil and cook the broccoli florets for 5-7 minutes until tender.
Make the garlic cheese by folding the olive oil, garlic, parsley and salt into the cream cheese.
Serve the chicken legs with a side of broccoli and dollops of garlic cream cheese.