Lock Azerite Traits?

Is it possible to lock Azerite traits among all gear? For example if I always want XXX trait can AMR prioritize that trait?

That’s what the customize feature is for. While it’s not “locking traits” in itself, it is a way to increase the value of a specific trait and/or secondary stat so AMR will try to prioritize that over alternatives.

You can find an explanation on that here: