Freedom of speech protects you from retaliation from the government, not from being fired by your company.

I would argue that that is a difficult thing to say. Wasn’t there a series of lawsuits against companies because they refused to hire women for special roles? Or was that in another country? possibly it was in germany

Anyways, in some countries, companies can get legal punishment if they discriminate based on gender and ethnicity and such. I would argue “free speech” might be protected similarly.