The free market is voluntary exchange without aggression (initiation of violence)–that's the "free" part. Far from being created by government, the free market is utterly incompatible with the claim to "legitimate" initiation of violence, which is the defining characteristic of any government and how it enforces its restrictions and regulations. You can have a market economy with a government, but it won't be a free market.

People are perfectly capable of trading with each other on a voluntary basis without requiring any restrictions or regulations or any other form of violence. And if violence does occur people are perfectly entitled to respond in self-defense without depending on any government to intervene.