I have switched teams to try and make coach edits. And when I switched back everything was fine as before for ME, but happens is when you move to a new team, you bring your coaching stats with you, and the coach of the team you just replaced moves to your old team. So to keep things correct, you'd need to switch back to your original team in between each switch to one of your other teams.
For example, say you have 4 teams, A B C and D.
When you switch from A to B, you now have B, A, C and D.
If you THEN switch to C, you now have B, C A and D.
NOw moving to team D you have B, C, D, and A.
And finally back to your original team you end up with A, C, D, B. So although YOUR coaching stats are okay, you just majorly hosed 3 other teams by scrambling their coaches.
So what you'd need to do is swap A and B, then swap them BACK, then swap A and C, swap them BACK, then A and D, then finally swap back. That'll keep the right coaches on the right teams when you're not controlling them.