* If the Chrysler 300 Limited is running: You can flat tow it (all four wheels on the ground) if it's properly equipped. This usually requires a specific transmission and transfer case setup (often requiring a special wiring harness) to allow the transmission to be in neutral while the driveshaft is spinning. Consult your owner's manual to see if flat towing is allowed and what steps need to be taken. Improperly flat towing can cause significant transmission damage.
* If the Chrysler 300 Limited is not running: You'll need to tow it on a trailer (wheel lift or flatbed). This is the safest and most recommended method if the car is not operational.
In short: Consult your Chrysler 300 Limited's owner's manual for the manufacturer's specific towing recommendations. This will detail the proper towing method, weight limits, and any necessary safety precautions. Ignoring these recommendations could lead to damage to your vehicle and potentially dangerous situations.
