I'm not sure what definitions you are using.
Can you define "Capitalism"?
Can you define "market"?
Are you advocating in any way outlawing capitalism as an economic model, or are you simply suggesting that it would cease existing on its own in the absence of the State?
if a private property owner wants to start a business and structure it in a capitalistic format, is that OK as long as those who agree to work for him do it of their own free will?
Capitalism is a form of social mediation defined by the harnessing of commodified labor-time in service of concentrated capital accumulation. It has existed for about 800 years.
"The Market" is a 20th and 21st century term to refer a macroeconomy governed by a political system that defers to the logic of neoclassical microeconomics. It has its roots in Ricardo and 19th century England and America.
Lowercase "m" markets are where people exchange things of economic value for other things of economic value. This can be anything. These have existed between 6,000 and 12,000 years. Probably closer to 6,000.
Modern humans are loosely 100,000 years old, mind you.
"The Free Market" and free markets are also two different things. "The Free Market" is state backed "laissez-faire" which is a form of state intervention.
Lowercase "free markets" appear similar, and are what you think they are, places of free exchange of economic value.
I don't think capitalism is an economic model, nor do I think "outlawing" it makes sense as a concept. I think capitalism is a sociological phenomenon that leads to certain economic models, all of which historically have been a battle between real free trade and state sponsored winner-picking. Winner-picking, again, can come in the hidden form of "The Free Market".
As a partner of a small business myself, who has just contracted out a bunch of work making ample use of private credit, I would be a hypocrite to say anything other than yes, I am okay with people entering into free agreements trading labor for money or commodities. I do recognize the system can be exploitive, but I also recognize the system can be fair.
I'm curious why you asked the bottom two questions.