2Mince and mash garlic to a paste with a rounded ¼ tsp. kosher salt using a heavy knife. Stir together softened butter, oil, and garlic paste in a small bowl until combined well; stir in parsley.
3Halve loaf horizontally and divide butter mixture between halves, spreading it evenly. Divide cheese between halves and spread it in an even layer. Put halves, cheese side up, on a large baking sheet. Cover the bread with a large piece of foil, tenting it slightly on the top and tucking it under the bread. Bake 15 minutes.