Add butter to a shallow bowl/dish and microwave to melt.
Add dried oregano, basil, and salt to butter and stir to combine. Roll each slice of bread in butter mixture, turning to coat.
Grease and heat grill to medium high heat. Grill bread for 1 to 3 minutes without turning, just until toasted.
Remove bread from grill and rub grilled side thoroughly with garlic. Sprinkle Parmesan and parsley on the grilled side and return toast to the grill, cheese side up. Close lid and cook just until melted, 2 - 3 minutes.