Icardi, 26, was stripped of the captaincy last week which cast major doubt over his future with the Italian giants.
Reports have suggested the current stalling of contract talks with complications involving his wife/agent Wanda Nara has caused a division between the player and the club's hierarchy.
In the wake of the uncertainty, Juventus director Fabio Paratici revealed the league leaders made an enquiry for the prolific forward.
But Inter have issued a hands-off warning with president Steven Zhang saying there's no chance of him joining their domestic rivals.
"In football you can never say never to business with Juventus," he said.
"However, in this specific case there's no chance that Icardi will go to Juventus. We talked a lot last week, we want to say enough about this story.
"We're negotiating a renewal with Inter, but our philosophy is that the group is always greater than the individual.
"Our market campaign next summer will be better than the last one."
Inter chief executive Giuseppe Marotta, who left Juve in September, described Paratici's comments as "inappropriate".
"We're not going to sell Icardi," Marotta told Rai Sport. "We believe he's a great player who's done well for Inter and who will do well in the future.
"As for what Paratici said, I think the same answer applies to [Juve star Paulo] Dybala: we'll see what he does in June. What Paratici said was inappropriate."