Speaking to Italian outlet Tuttosport (h/t Dominic Booth of the Manchester Evening News), Matic said his former Chelsea boss is one of the greatest managers on the planet and he expects him to be a huge success at the San Siro.
"He is crazy about football. He works 24 hours a day, analyses their players and opponents to the fullest. Tactically he is certainly one of the best in the world.
"At the physical level he makes his team run at the same levels for 95 minutes. A professional, one of the best in the world. "I'm sure he'll make it at Inter. He deserves it."
Matic joined United after being lured by former Chelsea coach Jose Mourinho in 2017, but the arrival of Ole Gunnar Solskjaer 12 months ago has seen the Red Devils play a more counter-attacking style. The progression of Scott McTominay has contributed towards Matic falling down the pecking order, and the 31-year-old is out of contract at the end of the season.
Mike McGrath of the Telegraph reported United can trigger an additional year as an option in Matic's deal, but a bid from Inter in January could see them sell the player to Conte. The former Juventus manager already has recruited Romelu Lukaku and Alexis Sanchez from Old Trafford, and could now add a third Red Devil to his team.
The emerging form of Fred this season has given Solskjaer a fresh central midfield option after a slow start at United for the Brazilian.
Paul Pogba is also close to full fitness, and Matic could struggle to make the bench once everyone is fit.
Matic was perfect for Mourinho's defensive tactics during the Portuguese's United tenure, repeating the screening midfield role he occupied at Stamford Bridge. However, with United now favouring a transitional style, and with McTominay an all-action presence in the centre, Matic is unsuitable for the starting XI.
A move to Italy could suit the player, and the slower pace of Serie A would give Matic additional time on the ball. Inter have struggled with injuries in midfield this season, and Conte is fully aware of the experience and positives the Serb brings with him.