In general, fiberglass insulation is not dangerous. According to Sustainable Enterprises, contaminated insulation or insulation exposed to living areas is potentially dangerous. The fiberglass particles flow through the air and humans and pets inhale those particles. When removing the material from your home, you must take it through an unused space, such as the crawlspace or attic.
Fiberglass insulation contains tiny glass particles that irritate the nose and throat when inhaled. Anytime you work around exposed fiberglass insulation, wear a protective mask, goggles and rubber gloves. The mask covers your mouth and keeps the fibers from entering your throat. The goggles protect your eyes and the gloves keep the fiberglass particles from rubbing against your skin. If you notice yourself coughing more frequently, then exit the space. It is possible that the particles pushed through the mask, reaching your throat.
Any type of insulation acts as a potential danger to your health, due to the contaminants inside. When the fiberglass sits exposed to the surrounding air, it attracts different items, including dust, debris and even mold. Working around the insulation causes a release of those contaminants into the air. Even accidentally hitting the wall beside the exposed insulation may cause mold spores or more dust and glass particles to pour into the air. You may notice that your eyes feel red, itchy or watery and that you have an upset stomach. Other symptoms of inhaling the particles include a rash, bronchitis or asthma.
The government banned the use of asbestos in 1977, meaning homes and buildings built before then may contain asbestos insulation. Exposed asbestos siding causes a host of potential problems, including worsening the symptoms of asthma. Long-term exposure to asbestos may cause certain types of cancer, such as mesothelioma and lung cancer. Asbestosis -- a disease that causes the buildup of scar tissue in the lungs -- is another potential danger. If you think your insulation may contain asbestos, then have it professionally tested. You also need to have the asbestos professionally removed by someone who has experience working with the toxic material.