Place 1 cup of water, the sliced peaches, and the apple juice in a saucepan and bring to a boil.

Reduce the heat to medium-low and let simmer for 15 to 20 minutes, stirring once in a while.

As you stir, crush the peach slices against the sides of the pan to help release the flavors. Turn off the heat and let cool.

Strain the peach syrup through a fine mesh sieve to remove the peach pulp.

Boil the remaining 5 cups of water and steep the green tea for 5 minutes.

Pour the peach syrup into the green tea, give a good stir, and refrigerate until cool.

Serve in a cup filled with ice and garnished with fresh peach slices.