Yes, sometimes your cookware will have a lining that can’t be properly or naturally processed (in the landfill). Because of this, Teflon and other non-stick linings will need to be stripped completely from your cookware.
That doesn’t mean that you have to bring all your pots and pans to the recycling entity fully stripped of the chemical lining. Many of these recycling entities will handle that laborious process.
However, this might incur a small fee, depending on where you take your pile of cookware.