Preheat the oven to 350° F (180° C.) Crush the oreos in a food processor or by hand. Measure the flour out into a separate bowl and stir in the salt. Prepare 1-2 baking sheets with parchment paper.
Melt the white chocolate. Let it cool for a couple minutes, then add it to a large bowl, along with the butter. Use a mixer or hand mixer to beat the butter and white chocolate until they are well combined, and there are no lumps.
Add the flour mixture and the crushed oreos, and stir with a spoon or by hand until all of the ingredients are incorporated. Avoid overmixing.
Shape the cookie dough into about 30 equally sized balls and space them evenly on the baking sheets. Bake the cookies at 350° F (180° C) for about 11-12 minutes.
Let the cookies cool for 5-10 minutes, then place them in a bag or tin with the 1 cup powdered sugar. Gently toss them to coat them in the sugar.