Depending on the Retail AMD Processor it may or may not include bundled with a CPU Cooler. But any AMD processor and CPU Cooler if added that is purchased and comes in a Official AMD Retail Box has a 3 year warranty on it.
Whereas if any AMD processor comes in a different packaging other than a Official AMD Retail box is considered to be OEM/TRAY processor which are not covered by the 3 year Warranty.
All OEM/TRAY processors Warranty are the responsibility of the Seller or Vendor.