Joan Laporta – who is running for a second term as Barca president this summer – has claimed he would try to sign the 22-year-old France international, who is also reportedly a target of Premier League sides Manchester City and Chelsea.
However, Juve director Giuseppe Marotta was quick to dismiss the idea of Pogba leaving the club.
“Whoever is interested needs to talk to us and not with agent Mino Raiola,” he said.
“Barca cannot make any signings and Juve does not want to sell.”
Pogba was previously a Manchester United player prior to joining Juventus in 2012, and is under contract at the Turin outfit until June 2019.
The Italian club turned down a bid from Barca earlier this month for Pogba after the Catalan club sent a delegation to Milan specifically to smooth the way for a deal.
Barca have been barred from fielding any new players until January 2016 due to a transfer ban imposed by FIFA for breaching rules on the transfer of under-age players, but this has not stopped them from bringing in defender Aleix Vidal from Sevilla and Turkish midfielder Arda Turan from Atletico Madrid this summer. The pair will be eligible to play for Barca for the first time in the new year.