Case Wrap Plastic Bag Drop-Off If you are unable to take case wrap to a plastic bag drop-off location, place them in the garbage. Recycle With Plastic Bags The plastic packaging from items such as bottles, paper towels, napkins and toilet paper, also called case wrap, can be recycled with plastic bags, unlike cling wrap. Find out how to dispose of cling wrap. Recycle Cardboard Part You can recycle the cardboard part of case wrap with other cardboard. Learn more about recycling cardboard.