Pit and halve the cherries, then place them in a mixing bowl.
Add granulated sugar to the bowl with the cherries and muddle them together until juicy and well combined.
Stir in the freshly squeezed lime juice until thoroughly incorporated with the cherry mixture.
Fill a pitcher with the cherry-lime mixture and add the sparkling water slowly to retain carbonation.
Stir gently to combine all ingredients without losing the fizz, then taste for sweetness and adjust if necessary.
Serve in glasses filled with ice cubes, garnished with lime wedges and whole cherries.