"One chairman I worked for wanted a lot more input into team selection, which up to that point had been zero," revealed the former Stockport, West Brom, Nottingham Forest and Leicester boss.
"I told him `no problem.' We will tell everyone that you've picked the team, and if and when it wins you get all the plaudits.
"But then you hear the old cogs going and they start thinking `what happens if the team starts losing.'"
"Then they don't want to do it."
Newcastle boss Kevin Keegan and West Ham counterpart Alan Curbishley have both quit this season because of alleged interference in team affairs.
"The problem starts when everyone thinks the manager is doing certain things, but it's not actually happening," added Megson.
"I've worked with directors of football before. With John Rudge at Stoke it was never an issue because he was always on the manager's side. If the manager is not directing the football anyway then I don't see who should be doing it.
"It's a difficult job and that situation just makes it impossible."