Line a half sheet pan with foil. Place each broccoli steak on the foil. Drizzle each with oil, salt and pepper. Rub the oil and seasonings into the broccoli steaks with your hands. Bake in oven for 10-25 minutes, flipping after 10 minutes.
For the rye breadcrumbs: In the last 7 minutes of broccoli baking, place the sliced rye on the baking sheet. Keep a close eye on the bread-you want a golden brown toast, but no burning. Reserve toasted bread and broccoli steaks for service. Once toasted, transfer to food processor and pulse until breadcrumbs are made.