Turn Signal Flasher Relay Location?

I am fairly certain that the reason my turn signals do not work (intermittently) on my 2000 Buick Century, is that the flasher/relay needs to be replaced. However, I am having a hard time actually finding or getting to it to replace it.
Some sources have said it is located on the inside of the drivers side dash access panel on the very end of the dash that you see when you open the drivers side front door. Your sources tell me that you cannot remove that panel, unlike the similar fuse box cover panel on the passenger side. Now I cannot figure out quite how to get up inside that area of the car to try and get my eyes and hands on the flasher/relay to remove and replace it. What is the EXACT procedure to get access to that area? There is a fibrous carpet colored panel covering that general area. But I can't quite even figure out how to remove that without damaging the retaining plastic things holding it in place. Please give me the best description you can to open that area up and be able to access and change that flasher/relay unit. Thank you