Speaking at a news conference ahead of Sunday's home game against Huesca, Zidane said Pogba was a "different" player and had few equals.
France international Pogba said earlier this month that "all players dream of playing for Real Madrid," sparking speculation about a potential move.
"I like him a lot -- that is nothing new," Zidane said. "I know him personally. He is a truly different player -- few players can do what he can. He is a midfielder who can defend, attack, do everything.
"But he is not my player, he is at Manchester. He has always said that, after Manchester, Madrid has always interested him. So when his experience at Manchester ends, why not come here to Madrid?"
Zidane was asked whether any player could be worth the €280 million mooted as the price for Paris Saint-Germain's France forward Kylian Mbappe.
"You cannot say these days what a player is worth -- €100m, €20m, €300m," he said. "It is up to the clubs.
"When I came here they said the price of €72 million was crazy, and in the end look what happened. We know the player that he is. He is not my player, so I will not speak out of respect for him and his club PSG, and above all respect for my own players."
Since returning to Madrid, Zidane has talked about "changes" in the summer, with speculation surrounding the future of Wales winger Gareth Bale.
"Gareth is an important member of the squad," Zidane said. "We know what he has done here, even in Champions League finals.
"Nobody can take away what he has done. We know he can bring a lot to the team, and we will count on him.
"We are going to play these 10 games [the last 10 of the season], and then we will see. That does not mean that, afterwards, there will be changes."
Recent reports suggested defender Raphael Varane was considering leaving, but Zidane said: "There is always a lot of talk here, and people can write whatever they want.
"The important thing is what the player thinks, and I can tell you he is very happy here. He has been here eight years and has done phenomenally well so far.
"I don't see him as people have said recently. To me, he looks happy and committed in what he is doing."
"The doctors will look at it and see how long he will be out," Zidane said. "I will not take risks on any player with a problem, even more with Thibaut who has played a lot, with his national team too.
"It is not a long time, just days, but he will not play tomorrow."