Two problems related to transmission stuck in gear have been reported for the 2013 Jeep Wrangler. The most recently reported issues are listed below.
I was in motion driving my Jeep rubicon off road in 4wd high and was heading down a steep slop and while shifting my 6 speed manual transmission from 3rd to 2nd the gear shift arm pulled of its mount. Due to the shift arm assembly coming off, I missed 2nd gear and ended up stuck in neutral. Before I realized exactly what happened I had traveled about 20 yards freewheeling. Due to the speed increase I had to apply my brakes which then caused the Jeep to slide sideways. I was able to gain control and ride the brakes down to the bottom of the slope where I investigated what happened and then had to make temporary repairs as I was stuck in a ravine with no easy way out. After a couple of hours attempting to get the shift assembly reinstalled I was able to drive out of the ravine and back to camp to improve the temp repair. I did not drive the Jeep again that weekend until I was ready to head home. I drove it the 280 miles home with the temporary repair in place.
Vehicle was in park, when I put it into drive, the engine shut off. Did this 4 times before I was able to keep it going. Got down the road, and when I stopped at the stop sign, engine quit again. Also Jeep would not go into drive it was stuck in neutral. After several attempts, Jeep went into drive. From there every time the vehicle stopped the engine would stall. No check engine lights came on, no warnings no nothing.