Preheat oven to 350 degrees F (175 degrees C).

Drizzle olive oil over hamburger bun cubs in a large bowl; toss to coat. Spread cubes onto a baking sheet. Sprinkle garlic powder, oregano, thyme, basil, salt, and black pepper over the cubes.

Bake in the preheated oven until brown and crispy, 8 to 10 minutes. Cool completely before storing in an airtight container for up to 2 weeks.