The Belgium international has been linked with the Serie A champion as well as both Chelsea and Everton but is insists he will not be on the move this summer.
Zenit star Axel Witsel wants to spend another season with the Russian champion, despite reports linking him with a transfer.
The Belgium international has been heavily linked with a move to Juventus as a replacement for Paul Pogba, who joined Manchester United for a reported world-record fee this week.
Premier League duo Chelsea and Everton have also been credited with an interest in the 27-year-old, who is entering the final year of his contract in St Petersburg.