I meant if you physically have more than one optical drive in your computer (ie a CD/DVD-RW drive and a DVD drive), simply place the CD in the other drive. If you only have the one optical drive (so the drive letters D and E are for hard drive partitions or a media reader, etc), then to try the CD in another drive would also mean using a different computer (if you have access to one).
It is possible that there is a conflict between your DVD drive and the play CD or copy protection; trying a different optical drive (if available) would help determine if that was the case or not. If you can try it in another computer, you could narrow down the problem to either the disk itself (if you get the same error there) or something with your system (if it works).
Also, if there was a scratch or some sort of defect in the CD, different optical drives may be better at error correction than others, so might be able to read it OK.