Step one. Preheat oven to broil. Lightly oil a baking sheet or coat with nonstick spray.
Step 2, In a large pot of boiling salted water, cook potatoes until parboiled for 12-15 minutes; drain well.
Step 03, Place potatoes and broccoli in a single layer onto the prepared baking sheet. Add olive oil, garlic and thyme; season with salt and pepper, to taste. Gently toss to combine.