I re-read through some of the post, and saw on post 8 you said ""My son is moving here soon, here is his situation, and here are his goals." Considering your goals, that you've expressed here is teaching and eventually running your own dojo, I think it's a fair assumption to assume your dad said that when mentioning your goals. The rest of that post, with your response to Wab makes it pretty clear that you're planning to teach at whatever school you go to, and it's a matter of when, not if, for you.I think it comes from this part of the initial post: You're dad talking with each master.
The first master responding: "I wouldn't know what class to put him in; and this school is like a family, how would the students think if I brought in someone outside the family?" and the second master responding: ""We can get him his 4th Dan and help him open a school in your town, since there aren't any Kukkiwon schools there."
We don't know (Unless I missed it , but I don't think you ever stated) what exactly the conversation your dad had with the two instructors. But both of those sentences don't make a huge amount of sense if you're dad didn't mention you wanting to teach there. For the first; why would a new student be anything different than another new student regardless of rank? It seems odd...but it seems much less odd if he was talking about "bringing in" someone the students aren't familiar with as a teacher, rather than a student.
For the second one, it would be presumptuous on the master's part to just state he's going to help you open a school, if your dad didn't initially state something about your own plans to teach/open a school. If he did, then that response also makes a lot more sense.
I'm not saying that's what he did or didn't say. But reading the OP again, it absolutely comes with the vibe that your dad had asked about you teaching when he went to scout out the schools.
If that's not the case, and either your dad didn't ask about you becoming a teacher, or you'd be perfectly fine training somewhere that didn't have an intention of having you become an instructor and just staying as a student, it would help if you clarified that.