If you call it a free market and sellers have the right to set prices, then why do you feel uncomfortable when buyers bargain? It is a free market, meaning everyone has the right to express their opinion and the transaction will be completed if they reach an agreement.
You don't like to bargain, maybe because you're shy or don't want to waste time...it all depends on your personality. Personally I don't like to haggle because I don't like arguing with women, but I don't see anything wrong or unpleasant about people haggling.
By the way, are you married? How would you feel if your wife didn't know how to bargain, didn't know how to save, and was a spendthrift? Bargaining is also a way to save money because not all sellers are honest and sell at the right price. I don't like to bargain but I support my wife in bargaining because it helps us not to spend wastefully.
Here you are using word free market which I also hear and read on many places, but it's not work for all because here where I am living we can bargain on small shops or those are selling things on stalls or footpaths but if you are in big mall or Branded Store they never like to bargain or have talked about price because things are already fixed just talk about quality and colour or other details about product then you have to pay price which is already submitted on product.
I personally love to bargain and have talked about this product, but usually they never allow which is really embarrassing because I have right, and I want to talk, but they are not allowing even in big markets they never do things like these in our country which is the problem, but we are living in these conditions and never had talk about this problem because law is also always favorable for them in many cases.
Not only in your country, consumers like us have almost no chance to bargain in shopping malls or supermarkets, and every item has a fixed price. In my country, buying and selling is a form of civil transaction, meaning both the buyer and the seller are voluntary. So we can say that shopping malls are also a free market because no one forces us to buy things there, they can sell at any price they want and we also have the right not to buy if we are not satisfied with that price. Or rather you can bargain with them but they just don't want to bargain with you, they stick to their sales principles and there is nothing wrong with that.
I have never seen any shopping mall or business that does not allow consumers to bargain, they just refuse to bargain with us and they have the right to do so.