01 - Combine cold water, kosher salt, and sugar in a large mixing bowl. Stir until the salt and sugar are fully dissolved.
02 - Submerge the chicken or turkey breast in the brine solution. Cover the bowl and refrigerate for 4 to 8 hours to allow the meat to absorb moisture and seasoning.
03 - Set the oven to 325°F and allow it to come to full temperature before placing the meat inside.
04 - Remove the meat from the brine and pat it thoroughly dry with paper towels. Combine the black pepper, garlic powder, onion powder, smoked paprika, and dried thyme, then sprinkle the seasoning blend evenly over the meat, rubbing it in gently on all sides.
05 - Roll the seasoned meat tightly in parchment paper to hold its shape. Wrap the parchment bundle securely in aluminum foil, twisting both ends firmly to form a tight, compact log.
06 - Place the wrapped meat log on a wire rack set inside a baking sheet to promote even air circulation during roasting.
07 - Roast in the preheated oven for 1 hour, or until a meat thermometer inserted into the center registers an internal temperature of 162°F.
08 - Remove the meat from the oven and let it cool completely at room temperature. For the best slicing texture, refrigerate the wrapped log overnight before unwrapping and slicing thinly for sandwiches.