A free market may well include monopolies and cartels, but in general these are due to the presence of regulations, not their absence. The more heavily regulated the market the higher the barriers to entry and the more prone it becomes to regulatory capture, both of which favor a small number of large, well-established players.
You should decide whether you believe "free market" actually means anything in actual economics. Early on you agree that it is a political term, then continue to pretend it has meaning.
The claim that monopolies are "in general these are due to the presence of regulations" is nonsense. The most famous examples of monopolies and cartels - the Standard Oil Monopoly, the U.S. Steel monopoly and the de Beers cartel had nothing to do with regulation and everything to do with unfettered market power.