Why do you want to have a foldable shoe rack? It is because1) they are easy to carry or move 2) they require no or very simple assembly 3) they are multi-functional. The distinctive design would be another reason!
Accordion-type foldable shoe rack
Maydear foldable bamboo shoe rack: This shoe rack is made of bamboo and 3 or 4 tier is available.
Zenree 4 tier shoe rack holder: This folding shoe rack, made from steel, can store 9-12 pairs of shoes.
Exy 4-tier storage shelf: This simple foldable shelf is made from metal. 3-tier white shelf is also available.
Storesmith collapsible 4-Tier bamboo shoe rack: You can pick from aqua, black, natural or walnut colors!
mDesign soft fabric shoe rack holder & organizer: This fabric shoe organizer has metal frame and has16 compartments.
Ladder-style foldable rack
Giantex 3-Tier folding wooden plant stand: This stand is sold as a flower stand but I like it to have an outside shoe rack.