Chelsea are also being linked with a move for the Russia international.
“The Spanish league is followed closely in Russia and I’ve seen many games, above all those of Barca, who have been my team for many years,” the Russia international told Sport.
“Last season I saw tons of games and they were in fantastic form. I’ve always liked their style of play and the concept of football they have.”
Zhirkov has been linked with a move to Barcelona to replace Eric Abidal.
“I would love to be this player,” added Zhirkov.
“In football anything is possible, but first Barca will have to make an offer and then it has to be accepted by CSKA, who are in charge of my future.”