Preheat your oven to 350°F (175°C). Line two baking sheets with parchment paper or silicone mats. Make sure your butter is softened for easier creaming.
In a large bowl, use an electric mixer to beat the softened butter, granulated sugar, and brown sugar together until light and fluffy, about 3-4 minutes.
Add the eggs one at a time, mixing well after each addition. Stir in the vanilla extract until fully combined.
In a separate bowl, whisk together the all-purpose flour, baking soda, salt, and matcha green tea powder. Make sure the matcha is evenly mixed to avoid clumps.
Gradually add the dry ingredients to the butter mixture, mixing on low speed until just combined. Avoid overmixing to keep your cookies tender.
Use a spatula to gently fold in the white chocolate chips and roughly chopped pistachios, ensuring an even distribution.
Using a cookie scoop or tablespoon, drop rounded balls of dough onto the prepared baking sheets, spacing them about 2 inches apart.
Bake for 10-12 minutes, or until the edges are lightly golden but the centers still look slightly soft. This keeps the cookies chewy.
Remove from the oven and let the cookies cool on the baking sheet for 5 minutes before transferring them to a wire rack to cool completely.