[PycptN2MH]

“Capitalism is the fullest expression of anarchism, and anarchism is the fullest expression of capitalism. Not only are they compatible, but you can't really have one without the other. True anarchism will be capitalism, and true capitalism will be anarchism”

― Murray N. Rothbard

[jadedhacker]

This is anarcho-capitalism (https://en.wikipedia.org/wiki/Anarcho-capitalism). There are other types of anarchism (https://en.wikipedia.org/wiki/Anarchism).

"Anarchism holds the state to be undesirable, unnecessary and harmful."

As private property cannot exist without violence and capitalism cannot exist without the state, some forms of anarchism are incompatible with capitalism.

I'm not an anarchist, just stating some definitions.