A summer transfer for the 25-year-old has been mooted, with speculation having built steadily towards the end of the 2017-18 campaign.
With Pogba having seen his form and mentality questioned during a testing season at Old Trafford, various landing spots were touted for a man yet to truly convince under Jose Mourinho.
A second spell at Juve has been mentioned just two years on from an £89 million ($118m) exit.
He was on target in a 4-2 final triumph over Croatia, having starred throughout the competition after being granted the freedom by his country which is often denied him at club level.
United would be reluctant to part with a man buoyed by the biggest prize in football, with more now expected of him in 2018-19, but Matuidi would still like to see a fellow countryman back in Italy.
As France revelled in their World Cup win on Sunday, Pogba took to Instagram as he celebrated with his team-mates.
Pogba jokingly replied by saying “Ooh, the Old Lady, the Old Lady”, with spirits running high inside the French camp.
Any approach from Juve to bring Pogba back onto their books this summer appears unlikely, with their recruitment focus currently locked on other targets.
Cristiano Ronaldo is set to be the marquee addition in Turin, with the Portuguese superstar on the verge of completing a €100m (£88m/$117m) switch from Real Madrid.
Movement through the exits could free up funds for other additions, but Matuidi may be left disappointed as United look for Pogba to replicate his international form on a domestic and European stage.