Hit it or went over it? If the latter, something around the shift range selector on the transmission is probably damaged. You'll have to assess whatever is bent or out of place on the left side of the transmission. You can take the key out since the shift lever itself moves to PARK.
I can manually push the lever into Park if I crawl under the car, so I would think that the cable that connects the gearshift lever to the transmission lever is either out of adjustment or bent so it is no longer stiff enough to push the lever all the way into Park.
How can I assess if the cable is damaged or needs to be replaced? How can I either adjust it back or replace it?
Are you still working on this one? If so, it sounds like you have a broken bracket that's supposed to secure the shift range selector cable to the transmission. You shouldn't be able to move the range selector (the lever you're rotating on the transmission) by hand when everything is tight.
Yes, I'm still trying to figure out what to do with it. The end of the cable at the transmission end has a tension adjusting screw on a bracket that connects to the sheath around the cable, could it be just that has gotten knocked around?
I don't know whether the cable is okay and just the tension adjustment is out of whack or the cable itself is bad. I went by the auto parts store and asked if they sold the cable but they don't, they sent me to the dealer. I don't want to buy the part from the dealer and have them say it's not returnable or something like that.