What does ‘appetite against’ mean? It is the same or opposite to ‘appetite for’? For example, there is out there an appetite against political correctness.

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I wouldn’t use the expression “appetite against,” nor do I remember ever seeing it used. (I’m an American-Canadian native speaker of English.)
Could be a new expression. 
One can say “there’s no appetite for...” but that isn’t the same as expressing a definite feeling against something.

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It must mean the opposite.  I.e. an appetite against political correctness = an appetite for NOT being politically correct.

“Appetite for” is used a lot, but I’m not sure I’ve heard of “appetite against”.  It sounds odd to me, given the meaning of the word “appetite”.