Do you see it lighting up and do you hear it spinning? Is it recognized by the bios?
Yes, yes and yes? Good. Typical.
dvd drives are inexpensive and expendable. The mechanism inside it is really easy to access and repair. Unscrew and pry it open, get rid of the accumulated dust, oil the two side bars with a film of all purpose oil and also clean the lens with rubbing alcohol or screen cleaner on an ear bud. DON'T OVERLY FORCE THE MOVING MECHANISM. Best of luck to you, this repair procedure has 40% success.