It's not professionally inappropriate, but it might be inappropriate to yourself.
You might not have any opportunity to advance at this new job, so it's unfair to yourself to assume you can finagle something comparable to what you have now. It's also slightly unreasonable to expect them to accommodate your hopes instead of filling the position for as little cost to the company as possible (their goal).
If you can live with the job listed, then go for it. I would not "call ahead" to ask if you're "too good" for the job, as that tips your hand to them about the ulterior motive. It would be best just to wow them and nail the interview. Talk about needing a change of pace, or how much you just love their brand to overcome reservations about over-qualification.
If you do a great job you can usually move up in most workplaces, but if they get a sniff of that as a near-contingency, that could prompt a search team member to start a discussion among themselves about those doubts after your interview, and that conversation never goes your way...