Buick LeSabre Climate control will not turn OFF
When the blower motor will not shut off, even with the ignition off and/or only works on the highest setting, this is most commonly a sign of a faulty Blower Motor Control Module. It's located under the hood, towards the rear of the engine compartment, mounted to the blower motor housing (see image below). Inspect the wire harness and electrical connector for any loose, broken, melted or damaged wires. If the visual inspection checks ok, suspect a faulty Module.
Other possibility can be faulty relay:---
If the relay is your problem with the fan staying on it is located here:
The two on the right are the cooling fan relays
The wiring diagram the fan motors is below
For the manual system pull the blower motor relay and see if that turns the fan off. If it does replace that one. The relay is about $13 list but it will be less at a parts store.
If you have levers it is manual if you have a display you set to a temperature and the system keeps that temp it is automatic.
Here is the correct diagram for a manual system
It is $124 at Advance auto parts
This is the speed controller for the blower motor. First check the 10A red fuse (#11) in the underdash relay panel on the passenger side for the blower motor that is located here.
This details will help.
Thanks.