Place the rum, 2 mint sprigs, satsuma, lime, and simple syrup in a shaker and fill halfway with crushed ice. Muddle until the mint and fruit are broken up. Strain into a small collins glass filled with crushed ice, and top with club soda. Garnish with a sprig of mint.
Recipe provided by Chef Donald Link, author of Real Cajun: Rustic Home Cooking from Donald Link’s Louisiana.