Since leaving Tottenham Hotspur just under a year ago, Pochettino has been strongly connected with several major European clubs.
Manchester City would be one of the groups that would observe the stage at a time when Pep Guardiola’s long-term race in etihad remains uncertain.
However, according to Championat, Zenit will ask Pochettino to upgrade to Sergei Semak.
In addition to ranking 3rd in the national league standings, Zenit suffered a 2–1 home defeat to Club Brugge in the Champions League last week.
Club leaders are said to be willing to give Pochettino a deal of just under 6 million pounds a year.