The problem with questions like this is that "moral" character is kind of a relative and arbitrary concept in the first place. What's immoral today might be moral tomorrow, and vice versa. In fact, if a free market becomes ingrained into the culture deeply enough, it will eventually decide what's moral. Not the other way around.
What's immoral today might be moral tomorrow, and vice versa
Well then you've already made a big statement about morality. (its relative & arbitrary). Welcome to the relativist school. You leave behind virtually all humanist ethicists, much of the The Enlightenment and of course most western religious traditions.
You are in an extreme minority. You will be accused of nihilism.
But even as a relativist, you could ask yourself questions like:
Does the free market cause individuals to be immoral according to their own view of what is moral?
Does the free market cause individuals to be immoral according to their friends & neighbours of what is moral?
Does the free market cause individuals to be immoral according to their seniors view of what is moral?
