Having troble with chrysler 300

It may be the plastic pieces that are connected to the shifter, they have been known to break easily and render the shifter stuck in place. To check this part, you must remove the center console pieces and when you get to the shifter you will see two pink pieces of plastic, if one of these pieces are broken removing it will let the shifter move, but it will slide easily of course so be careful. The part is inexpensive from the dealer and easy to replace. If you need assistance removing the console without breaking or snapping your panels, get a service manual from Promanuals.net, here is link to your 2005 Chrysler 300. It will give you easy step by step instructions on removing and replacing.