Ok first thing I would like you to do is take a look using Windows Explorer and see if you can copy and paste the animals.ztd file from your ZT disc to your desktop. If you can do that then you're fine. Just try to reinstall and when you get that error click Ignore and continue installation. If you get that error again with another file during installation make a note of the file name and folder it tried to install to and then when completed, using windows explorer locate the needed files on your ZT disc and use copy and paste to manually install the files to the right game folders.
Once you have that finished and the game installed run ZT to be sure all installed ok. If you still have difficulties or you can't copy the files from your ZT disc using copy and paste then it is possible your disc's have become scratched or the files corrupted and you may need to buy a new copy of CC.