Preheat oven to 375 degrees F. Line a baking sheet with parchment paper or a silicone baking mat; set aside.
Remove rolls from the can, separating them into eight triangles. Top each triangle with 1 tablespoon mini pepperonis and a halved cheese stick.
Starting with the wide end, roll up each triangle, tucking the ends underneath. Place seam-side down onto the prepared baking sheet and bake until golden brown, about 10-12 minutes.
In a small bowl, whisk together butter and Italian seasoning.
Serve crescent rolls immediately, brushed with butter mixture.