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Dembele also fuelled speculation over a potential move to the Gunners after he had dinner with several Arsenal players last week, including Pierre-Emerick Aubameyang and Henrikh Mkhitaryan.
The Portuguese is open to selling a player that he criticised for not returning to the United's pre-season tour of the United States after the birth of his second child.
United can still receive offers for players after Thursday, but will not be able to pursue targets to replace Pogba.
The Catalan giants tabled an offer of £45m plus Yerry Mina and Andre Gomes, which Starsport understands was laughed away by United chiefs.
But Pogba told United pals he wants out. After re-signing the midfielder from Juventus for £89m in 2016, the Red Devils refuse to sell a player who they have invested in "to bring them success on the pitch, and commercially, over the forthcoming years".
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Leicester City are adamant over retaining defender Harry Maguire and have told Manchester United he is not available at any price.
World Cup-winner Pogba is said to have grown disillusioned with life under Jose Mourinho, sparking interest from the La Liga champions - though time is likely to save United's blushes, with less than 48 hours to go until the end of the window. Perhaps he needs to say, 'Congratulations on winning your World Cup medal, but forget about that because now it's about Manchester United. Let us know in the comments...
Spanish outlet Mundo Deportivo reported earlier Monday that Pogba's agent, Mino Raiola, had travelled to England to negotiate his client's exit, with Barcelona and Juventus preferred destinations.
Other sections claim the midfielder is considered unsellable by United's owners and there's no way he'll leave for Barcelona.
The Sun add Raiola approached United executive vice-chairman Ed Woodward in January shortly after Sanchez arrived. The club have denied the claim.
Pogba, though, is believed to have been more upset by what followed in the interview as Mourinho implied being in an enclosed environment over six weeks ensured he focused just on football and not on outside matters such as commercial contracts.