Are there conference chairs that fold flat for storage?

Yes — folding conference chairs have a frame that collapses flat (front-to-back or side-to-side) for wall or rack storage, typically reducing stored width to 4–6 in. per chair. Folding conference chairs sacrifice some ergonomic features but are ideal for multi-purpose meeting spaces. OfficeFurniture2go.com carries folding conference chair options — call 1-800-460-0858.