01 - Combine ginger, sugar, and water in a small saucepan. Bring to a boil over medium heat, stirring until sugar dissolves completely. Reduce heat and simmer for 3 minutes. Remove from heat and allow to cool. Strain out ginger slices using a fine mesh strainer.
02 - Add peeled, pitted peach slices and fresh lemon juice to a blender. Puree until completely smooth, approximately 30-45 seconds.
03 - Pour peach puree into a pitcher. Add 1/4 cup prepared ginger syrup. Stir thoroughly until fully incorporated.
04 - Fill four glasses with ice cubes. Distribute peach-ginger mixture evenly among glasses, approximately 1/4 cup per glass. Top each glass with 1/2 cup chilled sparkling water. Stir gently to combine without losing carbonation.
05 - Add fresh peach slices and mint sprigs to each glass if desired. Serve immediately while chilled.