The Portuguese, who took charge of Zenit earlier this year, is one of a number of names that have been linked with the leading role at the Camp Nou.
However, the former Tottenham Hotspur head coach has insisted that he will remain in Russia.
"All the rumours about my negotiations with Barcelona are completely groundless," Villas-Boas told reporters.
"I've signed the contract with Zenit and I'm set to stay here until its expiry date. My work with Zenit is my top priority."
Current Barcelona boss Gerardo Martino is widely expected to leave the club in the summer.