If asbestos is found, the Environmental Protection Agency (EPA) has guidelines for proper removal of asbestos. Ask the asbestos abatement professional for an estimate on how much this will cost. Usually, it is around $2 or $3 per square foot.For instance, if you have a building that has 1,750 square feet and was quoted $2 per square foot for asbestos removal, the cost for this part of the demolition will cost $3,500.Add this price to the amount the professional asbestos inspector charged for the discovery of asbestos.f asbestos is found, the Environmental Protection Agency (EPA) has guidelines for proper removal of asbestos. Ask the asbestos abatement professional for an estimate on how much this will cost. Usually, it is around $2 or $3 per square foot.