The woodgrain is a sticker on the chromed metal piece. The chromed metal piece “wiggles” so I suspect the whole thing slides off somehow, I just didn’t get too forceful because I didn’t want to break something impossible to replace.
You can’t really get to the backside of it without bending the door panel.
I tried prying up on it a bit but I didn’t see anything obvious. I moved onto a different project and I’m going to try again tomorrow.