Heat broiler. Combine butter and garlic in small bowl.
To assemble sandwiches, spread 1/2 teaspoon butter mixture onto cut-side of each roll half. Place bottom halves of rolls onto ungreased baking sheet; top each with 3 pepper rings, cheese and 1 teaspoon oregano leaves.
Broil 4 to 5 inches from heat until cheese is melted (1 to 1 1/2 minutes).