Really? Do you live in the area or just visiting?
You can start by doing a google search for truck parking in knoxville. Here is what I found. http://www.findtruckservice.com/semi/Truck+Stops/With+Parking/TN/Knoxville/
Now you need to pick one and call them asking for permission to drop a trailer for home time. I don't know who you drive for but some places will not let you drop a trailer. Truck repair shops are also another place you can ask. Large industrial areas. Maybe a moving company has a little room for this. Be creative.
Before dropping your trailer, I'd make sure to ask your companies policy on dropping a trailer. Some don't want you to leave a trailer unattended.
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dose anyone know of a place i can drop my trailer off for my hometime around sevierville or knoxville area????