Preheat your oven to 350°F (175°C).
Line your baking sheet with parchment paper.
Melt the unsalted butter in a medium saucepan over medium heat until golden brown and nutty.
In a large mixing bowl, combine the browned butter, granulated sugar, brown sugar, egg, and vanilla extract. Whisk until smooth.
Stir in the sweetened shredded coconut.
In another bowl, whisk together the flour, baking soda, and salt.
Gradually add the dry ingredients to the wet mixture, stirring until just combined. Fold in the white chocolate chips.
Scoop dough onto the prepared baking sheet, leaving space between each cookie.
If desired, sprinkle reserved white chocolate chips on top of each cookie.
Bake for 10-12 minutes until edges are lightly golden.
Cool on the baking sheet for 5 minutes before transferring to a cooling rack.