Pogba, 25, has been linked with a return to Turin amid reports of a falling out with under-fire United manager Jose Mourinho.
The France international left Juve for Old Trafford in a then-record €105million move in August 2016.
Amid reports linking Pogba – who won four consecutive Serie A titles at Juve – with a return, Paratici said the club had not entertained the idea.
"We love him very much," he said at an awards ceremony on Monday.
"We're connected to him, but we've never thought about it and we're not going to think about it."
Another player Juve have been linked to is Lazio's star midfielder Sergej Milinkovic-Savic, but Paratici played down a possible move.
"He's a great player, but we haven't spoken to him or Lazio," he said.
Juve have made a perfect start to the season, winning 10 straight games in all competitions.
The club is favored to win the league once again following this summer's big-money move for Cristiano Ronaldo as the team looks for an eighth consecutive Scudetto.
Next up for the Italian champions is a match against Genoa in Serie A before Ronaldo returns to Old Trafford as his new club faces Pogba and Manchester United.