There are certainly countries where healthcare is free to the patient at the point of delivery; countries where no one is ever refused healthcare for lack of ability to pay, or need ever consider such a thing. If your quibble is that it's actually paid for by general taxation, well, yes, but this is well understood by everyone as what is meant by "make healthcare free".
(Similarly for college tuition, while we're at it. As for "create jobs" and "increase wages", these are relative terms, but there are certainly countries where such things have gone up at times in response to specific policy decisions (including here in the U.S.!). I'll leave the rest untouched upon for now.)
Sometimes Americans do move to other countries! Sometimes they don't. More factors generally go into a person's decisions to move or not move than any one policy choice, and people have attachments to where they grew up, and so on. It's no small matter.
> healthcare is free to the patient at the point of delivery
Sure I can offer you an rotten apple for free as the ONLY choice and claim you are getting a free apple. But that is not any better than USA where government mandates the floor on quality of apple and gives freedom to set the price (which will be high because of quality floor).
Both scenarios are very different. When cost of things is distributed over large population it might not be visible to a naive mind but it is indeed the cost one ends up paying.
Have you heard of "Freedom of speech" & "Right to bear arms"? Not all countries have that, and some people value them pretty highly.
Also, immigrating to another country has many legal, economic, social, and mental challenges. This makes moving to another country less appealing to humans!