Preheat the oven to 350°F and line a baking sheet with parchment paper.
In a medium bowl, whisk together the all-purpose flour, matcha powder, baking soda, and baking powder until evenly combined.
In a separate mixing bowl, mix the softened butter and cane sugar until combined. Add the egg and vanilla extract and continue mixing until smooth.
Gradually add the dry ingredients to the wet ingredients and mix just until a dough forms. Avoid overmixing.
Add the white chocolate chips and gently fold them into the cookie dough until evenly distributed.
Scoop the cookie dough onto the prepared baking sheet, leaving some space between each cookie.
Bake for approximately 10 minutes, or until the edges are set while the centers are still soft.
Allow the cookies to cool on the baking sheet for a few minutes before transferring them to a cooling rack.