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 reach 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, gently rubbing the seasonings into the meat.
05 - Roll the seasoned meat tightly in parchment paper, then wrap securely in aluminum foil, twisting both ends to form a compact, firm log.
06 - Place the wrapped 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 refrigerated overnight, before slicing thinly for serving.