I see no issues from an amplifiers vibration for the player? If anything I would think the other way around as the CD is spinning.
That said, I really like using Vibrapods under my equipment, and for this instance I think it would be beneficial for you. They’re one of the best inexpensive tweaks in our hobby.
http://www.vibrapod.com/images/vibrapod/vibrapodtop.jpg
These are very effective at isolating turtables. I'm also using two sets to isolate mono block amps sitting on top of a set of Klipsch Heresys, under CD players, DVD, etc, you get the picture.
That said, I really like using Vibrapods under my equipment, and for this instance I think it would be beneficial for you. They’re one of the best inexpensive tweaks in our hobby.
http://www.vibrapod.com/images/vibrapod/vibrapodtop.jpg
These are very effective at isolating turtables. I'm also using two sets to isolate mono block amps sitting on top of a set of Klipsch Heresys, under CD players, DVD, etc, you get the picture.