Well, it's a DC motor, so just give it something like 3.3V or 5V and see if it spins up. You can even try that in the CD drive with the motor wires disconnected from the main board and connected to your power source. Have a CD on the spindle and spin it up, then power up the drive to see if the laser assembly moves around and tries to seek. Try some different types of CDs too - i.e. audio, data, and etc.
I also second the notion that you can find such DC motors in other optical drives, particularly from the tray eject mechanism.
That said, I suspect you may find the problem not to be with the motor... at least if the motor does appear to work when you power it from an external source.
I have a more modern LG drive here that also won't try to spin discs at all. But if I spin the disc by hand very fast, eventually the motor "blurps" and tries to spin, then stops and the drive still doesn't want to read. Haven't gotten to the bottom of it yet, but I suspect the laser pickup is likely EOL. Luckily, I have found an identical drive with the PCB missing (long story... but yeah, I know a local scrapper that prefers to pull the PCBs out of optical drives than sell them for reasons unknown.) Just need to find the time to get to it and swap parts around.