The Zebrette are out of the dropzone thanks to goals from Lorenzo Lucca and Lazar Samardzic.
Cannavaro said: "Udinese has an important history. In these days of work I have tried to make people understand the importance of this club, especially to young and foreign players.
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'This is a club that puts you in a position to work well, it is right that players and technical staff repay this trust with work."
On Samardzic, he said: "I'm working to make him understand how to put the defender in difficulty, that's how the goal came today. It's gratifying when you see the results of the work during the match.
"The pressure had increased after yesterday's results, we need consistency."