Normally if you blower will not shut off, you have a bad resistor or relay...most likely the relay...
BAD FUSE SOUNDS NUTS BUT IT IS?
Climate control blower motor was the fix. The part cost 441 dollars.
The most common problem when a car's heater fan doesn't shut off when the car is shut off is that the resistor on the blower motor has gone bad. The fuse that powers the resistor should also be checked.
If the fan runs with the HVAC panel shut off, the blower resistor power module has failed.
Have your blower motor resistor or blower motor checked out
when my car did this it was a blown fuse
Generally automotive blower motors are designed to run on the lowest speed even though the heater is turned off. The purpose is to circulate fresh air into the cab.
The blower control module is defective.
faulty blower module. Under hood not far from blower motor
Ifit has the c68 option (auto air) check the blower control module under the hood
Probably the control unit mounted underneath the relays by the firewall. Get a used one somewhere, but get a new blower (parts store item) to go with it. That might save you from having to buy an other controller.
Blower resistor has failed. It is located behind the glove box.