01 - Combine cold water, kosher salt, and sugar in a large mixing bowl, stirring until fully dissolved.
02 - Submerge the chicken or turkey breast in the brine, cover the bowl, and refrigerate for 4 to 8 hours.
03 - Set the oven to 325°F and allow it to come to full temperature.
04 - Remove the meat from the brine and pat it thoroughly dry with paper towels. Evenly coat the surface with black pepper, garlic powder, onion powder, smoked paprika, and dried thyme, rubbing the seasonings in gently.
05 - Roll the seasoned meat tightly in parchment paper, then wrap securely in aluminum foil, twisting both ends to form a firm, compact log.
06 - Place the wrapped meat log on a wire rack set over a rimmed baking sheet.
07 - Roast for 1 hour, or until a meat thermometer inserted into the center registers 162°F.
08 - Remove from the oven and let the meat cool completely, preferably refrigerating overnight, before slicing thinly for serving.