The Catalan side have been linked with a proposed £15m bid for Song, but Vilanova is not willing to directly discuss the 24-year-old.
"I don't like talking about players who are not in our squad," said Vilanova.
"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, whose current contact expires in June 2015, started in 34 of the Gunners' 38 Premier League games last season.