The Italian giants believe the Allianz Arena-based outfit should have kept their opinions to themselves regarding the move for the Chile midfielder
The Italians landed Vidal last week from Bayer Leverkusen, and the move caused Bayern Munich to accuse the player of not keeping his word.
But Juventus have hit back to the Bundesliga side's claims and insist they have gone through the correct channels to sign the midfielder.
"With reference to Arturo Vidal’s signing and to the statements expressed by Karl-Heinz Rummenigge - president of the vigilance committee at Bayern Munich," said Juventus’ managing director and sports director general Giuseppe Marotta.
"'In the circumstance concerning Vidal, Juventus operated according to the regular channels of the transfer market, including an agreement both with the club, in this case Bayer Leverkusen, and with the player involved.
"'Apparently, Rummenigge relied on less conventional channels, I’m really sorry for him and Bayern. They missed a good chance, both in the transfer market and in their communication: silence would have been preferable.
"Evidently, the past of a great champion and executive who wore the Nerazzurri’s [Inter's] shirt as Rummenigge did, carries some weight and, as known, the heart cannot be controlled.'”