You can t nail through the asbestos siding if it is the rigid kind it is brittle and will shatter.
Asbestos siding covered with vinyl.
Applying a layer of sheathing or sheets of foam insulation over the asbestos then covering it with vinyl siding is a common practice.
Most siding companies are well experienced at techniques for covering over existing asbestos cement siding with new vinyl aluminum or fiber cement siding.
You should have no problem covering asbestos siding with vinyl siding.
This however can change if the asbestos siding begins to dry out or get damaged.
The following article will show you how.
The other solution is to cover the asbestos with siding.
However removing the asbestos siding first though more expensive is the best alternative in the long run.
This is usually the preferred method of dealing with asbestos building materials.
Make sure to carefully discard any fallen broken pieces of asbestos away.
There is a vinyl siding product that uses adhesive instead of nails but it has not been in field use long enough for me to consider it.
A better strategy may be to cover it over with new siding which effectively seals in the asbestos material.
Continue the process of hooking the siding pieces together and nailing them to the house working your way up to the top.
Removing the whole asbestos is often too costly.
But be sure to check your local building codes first to see if it is allowed in your area.