"I tried that tactic once... wound up with out job..."
You can only do this if you've made yourself difficult to replace, such as writing some highly complex code that only you fully understand, to the extent that your team-mates cannot easily maintain it.
OTOH, if you're some punter taking tech-support calls at a call center that has high-turnover anyways, you can bet they won't care if you leave, even if you were doing a good job.