1. Combine first 7 ingredients in a small bowl.
2. Shuck oysters. Discard the top shell; keep oysters in the deeper bottom shell, and place on a rimmed baking sheet filled to a depth of 1/2 inch with coarse salt. Dollop butter mixture evenly on oysters.
3. Broil oysters, 5 inches from heat, 5 to 7 minutes or until the edges of the oysters begin to curl and butter is bubbly.