Free markets under "laissez-faire economics" do exist but only on paper. Businesses are taught to avoid such a system. In reality we should talk about liberal market economies LME e.g., U.S., U.K., Canada, Australia, New Zealand, Ireland and coordinated market economies CME e.g. Germany, Japan, Sweden, Austria.
Free markets only work effectively on paper, for the conditions needed for it to function are never seen in real life.