The 24-year-old has been rumoured to have caught the eye of the Catalan outfit, as they look to strengthen in a bid to regain the La Liga title from fierce rivals Real Madrid.
The Spanish club's star midfielder Andres Iniesta also revealed his admiration for the Cameroonian to reporters, but expressed uncertainty over whether a move was in the offing.
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"I don't like talking about players who are not in our squad," said Vilanova when asked about Song.
"There are many players outside of Barca who I like and I cannot talk about them. It would be a lack of respect to other clubs."
Song made his Premier League debut in 2005 and has gone on to appear on over 200 occasions for the north London club.