Combine butter, sugars, eggs, instant coffee, and vanilla extract in a large bowl. Beat with an electric mixer until fluffy.
Mix flour, cocoa powder, baking soda, and salt together in a separate bowl. Pour over butter mixture and beat until combined. Fold in white chocolate chunks using a spatula. Cover dough and chill for 1 hour.
Preheat the oven to 325 degrees F (165 degrees C). Grease 2 cookie sheets.
Drop tablespoonfuls of dough onto the prepared baking sheets.
Bake in the preheated oven until edges are lightly browned, 12 to 15 minutes. Allow to cool slightly before removing from the cookie sheets.