Yes, the City or County you reside in most certainly require permits in order to move a mobile home.
In addition, there very well may be additional permission or paperwork to file with the State governing body who over-sees mobile homes in your State - in California it is the HCD aka The Depart of Housing and Community Development (http://www.hcd.ca.gov/). They very much care because they keep close track of the address associated with the home, who owns it, and how much tax is owed.
Your first step is to contact your local tax authority for help. The City and County you live in. That will point you in the right direction.