@Diana Ramirez,
Diana Ramirez wrote:
Now he wants to come into class and observe how his son interacts with others. How do I tell him no without making it seem like I have something to hide?
That seems like a prime opportunity to me, actually. (Annoying short-term, with possible long-term benefits.) You can agree with him about how discipline is most effective when happens right after the transgression, and say that you expect him to go ahead and deal with the behavior since he is there observing.
You've already established that you think the child is disruptive and that the parent should be doing something about it.
The parent seems to agree that the child is acting inappropriately, but is just protesting that he can't do anything about it if he's not there.
If he's there, he can.
He may also just not really get how disruptive his son is being, in which case his presence would be a win either way -- if the child is disruptive, the parent can see that for himself; while if the child is not disruptive, the child is not disruptive! And then you can say something like, "I was so impressed with how much better [child's name] was behaving today when you were here, clearly he thinks a lot of you and wants to please you. I think it would make a big difference if you explain to him why it is important not to [hit other kids or whatever he was doing to hurt them, etc.]"
Good luck!