You need to read the part of the First Amendment where it grants freedom of the Press. Wear your glasses if necessary.
you seem to have missed the whole point of this thread. The president of Chick-fil-a is an American citizen with the freedom of speech. When a government entity decides that they don't like what he says, and uses the power of government to treat his restaurant differently than they treat other restaurants as punishment for expressing his political and religious views, then an American citizen has lost his freedom of speech.