Chill an old-fashioned glass by filling with crushed ice or refrigerate or freeze for at least 30 minutes.
Add the Herbsaint, absinthe, or Pernod to the glass; swirl it around to coat the entire sides and bottom of the glass. Discard the excess.
In a cocktail shaker, add 4 or 5 small ice cubes, sugar, rye whiskey, and bitters. Shake gently for about 30 seconds; strain into the prepared old-fashioned glass.
Twist lemon peel over the drink and then place in the drink.
Makes 1 serving.
* Learn how to make a Basic Simple Syrup Recipe.
Sazerac Cocktail Recipe: https://whatscookingamerica.net/Beverage/SazeracCocktail.htm