If it is a single CD, then you can try a short, thin hook wire & insert into the center of the CD slot, far enough to snag the center of the CD.If it is a indash CD changer then there is no good way, without removing Unit & taking it apart.
Either way above can keep you from having it repaired or exchanged, because most repair / exchange shops will not accept the unit if it shows signs of tampering.
Repair est $ 185.00 - 295.00 depending on shop & parts
Here is DODGE procedures (.pdf):
click belowREMOVE DASH PANEL