Cut peach into slices and place in a medium pot with water, sugar, and a small pinch of salt. Heat over medium-low heat until sugar is dissolved. Remove from heat and let cool. Remove peel from peaches.
Once mixture is mostly cool, add to a blender and blend until smooth.
Use 1 oz. of peach syrup in cocktails with bourbon or gin + a splash of club soda for a great late season cocktail!
Peach cocktail syrup will keep great in the fridge for up to two weeks.