The 25-year-old midfielder had an indifferent season at Old Trafford last term, with reports of a falling out with boss Jose Mourinho.
The World Cup winning midfielder returned to United in 2016 following a spell in Italy with Juventus.
Pogba, a favourite of executive vice chairman Ed Woodward, has three years left on his contract with the option of a further 12 months, and the club are under no pressure to sell. PSG will be more determined that United to hang on to their midfield star particularly as they have no obvious replacement lined up.More news: Tiger Woods says it's 'sad' to see WGC-Bridgestone Invitational leaving Akron
Milan have extra time to conclude a deal for Martial as they Italian transfer window closes nine days after the Premier League's deadline.
Although Pogba wanted to leave, he also did not intend to ever go to war with his club over it either.
The praise from Valverde comes as Pogba is rumoured to have a fractured relationship with Manchester United manager, Jose Mourinho, and may turn the midfielder's head this summer.
Pogba's performances in Russian Federation have not gone unnoticed, with Real Madrid, Juventus and Paris Saint-Germain all linked with a move. The Giallorossi have already rejected offers from Everton and Crystal Palace for the 29 year-old.More news: Rick Gates testifies that he committed crimes with ex-boss Paul Manafort
Despite the fact that United's "not for sale" stance has been widely reported, it hasn't been enough to completely kill off speculation that Pogba might still be on his way.
Steve Nicol talks Chelsea scrambling to buy players as well as Paul Pogba, Yerry Mina and Patrick van Aanholt.
United are simply not interested in selling Pogba.
However, that's obviously not near enough for the Red Devils or Mourinho with Barcelona seemingly attempting to just disrupt Paul ahead of the new Premier League campaign. On Sunday, some British media, such as the BBC and the Daily Star, say the deal could happen next week.More news: Donald Trump Takes Shot At LeBron James’ Intelligence In Wild Tweet
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