The Portuguese only took over at the Russian Premier League side in March after parting company with Tottenham in December last year.
Villas-Boas has made a strong start to life with Zenit, who lead the Russian top flight by a point from Lokomotiv Moscow with four games remaining.
Zenit's performances under Villas-Boas have led to speculation that he could leave the Saint Petersburg club.
And Barcelona has been touted as a potential destination for the 36-year-old following a season of relative struggle for the Catalan club that has put coach Gerardo Martino's future in doubt.
But Villas-Boas insists that he has no intention of leaving Zenit.
"All the rumours about my negotiations with Barcelona are completely groundless," he said.
"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."
‘Sir Gary Lineker? I don’t know how you comment on that – I’ve never even considered it. I just try to stand up for the things I believe in’ England legend tells FFT why he won’t stop raising humanitarian issues, even if it affects potential honours
'I fell on the floor and shouted for a penalty. Someone pulled me up and said, "Don’t cheat to win penalties". It was Steve McManaman. I never did it again!' Ex-Liverpool forward reveals harsh lesson he learnt from his team-mate on Reds debut
