It has to go both ways, though. At my last job, when I first talked to the CTO (my boss) about leaving, he asked me to think about it and talk again the next day. The next day he postponed the meeting. Then, at the day of the meeting, he was out of the office. It had been 5 days since the first talk so I chose to escalate the matter and, in an Arrested-Development-episode kind of situation, I learned that the CEO and…
BTW, generally, people are less likely to pull off shit like that if you motivate your resignation with some health/moving/whatever external factors. Just shift the focus way from "I don't want to work with you assholes" to "my wife got reassigned to %STATENAME%, so I guess I have to follow" or whatever sounds plausible and you're good to go.