The French boss insisted that no contact had been made between the two clubs and hit out at reports in the Spanish media.
"There's nothing going on with Song," Wenger is quoted as saying by The Sun. "There's nothing in that.
"Song has three years [on his] contract, he's not in the same situation as Robin van Persie.
"In Spain the newspapers are not really serious. We've had the experience of that. We've never had any contact with anybody from Barcelona."
Song had earlier admitted to Sky Sports that there was "interest" from a club which he described as "the best team in the world" but declared himself happy at the Emirates Stadium.