The bigs used to be great for this: the two problems a Googler manager has with talent management is A) motivating people who won't do work because they know they won't advance B) trying to placate people who work hard, when there's no significant reward for it, for years, and social mores mean there's no polite way to explain why.
Past that, and assuming you can just get a job wherever, I'd wonder why you want to actively not advance. You can't really say this to a manager with a straight face without getting "tsk tsk'd", even when everyone knows there's no real room for it. It'd get dissembled into not having a growth mindset or whatever if its actively voiced.
If you're looking for stability and WLB, my understanding of Amazon/FB from Googlers was they were somewhat ruthless in turning people over, and that's certainly gotten worse. And now it's happening at Google too, there's a defacto quota of ~10% of people who need to get hassled early. And it wasn't fair or rational necessarily who was.