The comedy writer insisted at a BAFTA lecture that the move to Sky for Mid Morning Matters with Alan Partridge was not motivated by money, according to The Guardian.
"Honestly the money - I've got no idea what we got for it - it wasn't about the money," said Iannucci.
"We didn't take it to Sky because they offered more money, we took it to Sky because they said they would leave it alone, they wouldn't interfere. [The BBC] said... if there was a new series could we open it up a bit and take it away from the radio station... which for me was essential.
"So already... Sky were very enthusiastic - here's our plan about how we can promote it, here's how we can give it profile - it had that creative buzz."
Iannucci added that the BBC is "waking up to the fact" that it may be losing shows and talent to other broadcasters.
"[They're saying,] 'Hang on, scripts aren't coming in any more, he's gone to Sky. Hang on, why's he doing a Channel 4 show?'," he suggested.
> Sky boss Stuart Murphy criticises Channel 4 over Chickens axe
At this year's Edinburgh TV Festival, Sky director Stuart Murphy described accusations that talent is only attracted to his organisation by money as "s**t" and "pathetic".
"When the chairman of the BBC and the DG say talent only goes to Sky for the money, I thought that was so pathetic," he said. "You think well-paid talent will come to Sky for an extra five grand an episode? It's... because of relationships I have in the industry."
Watch a clip from Mid Morning Matters with Alan Partridge below: