The combination of oysters and rosemary brown butter is always served at Artisan Bistro at the Ritz-Carlton, Boston Common.
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Place the oysters on the grill. Cook until the oysters pop open.
For the sauce, heat up the butter with rosemary until the butter browns, but does not burn. Incorporate the remaining ingredients. Taste and adjust seasonings.
To assemble, place the rock salt and wood chips on a cast-iron pan. Heat the pan until the wood chips start to smoke and it adds additional flavor to the oysters. Pour a teaspoon of the rosemary brown butter on each oyster and serve.