In the programme Bates claimed that Levi has cost the club investors as well as damaging them with his legal dispute.
Bates wrote: "At this difficult time we should all be pulling together, but have an enemy within, Melvyn Levi. Perhaps you would like to ask him to justify his behaviour, which is damaging to Leeds' prospects of advancement. Mr Levi lives at..."
Levi complained to the authorities after Leeds' 3-2 home defeat to Sheffield Wednesday at the weekend, and said: "I will not allow Bates to get away with what he did. He is encouraging fans to come around to my house after describing me in the worst possible terms.
"It's totally disgraceful. I can't understand why he's singling me out. I haven't spoken to him for more than a year. He should concentrate on sorting out the many problems within the club, rather than persecute me in language that the Nazis would have used."
Bates is quoted in the Daily Mail as responding in typical style: "Levi is lucky I didn't put in his telephone number. I'm still waiting for his writ. If he's got a problem, he should speak to me direct."