"VAC bans are permanent, non-negotiable, and cannot be removed by Steam Support. If a VAC ban is determined to have been issued incorrectly it will automatically be removed." [0]
False bans cannot be appealed. They do happen. [1] You have no power to deal with them when they happen, and they really, really do happen. [2] You don't just get a game or server ban, you lose pretty much everything, and it becomes a public permanent record. Unless you're part of a headline, you have zero chance of reversal.