The 53-year-old recently committed himself to Zenit until 2015 but has announced that he would jump at the opportunity to enter the international arena
However, according to La Repubblica, it is his compatriot Fabio Capello who is currently the leading candidate to fill the vacancy.
Spalletti, who has led Zenit to two consecutive Russian Premier League titles, is also thought to be under consideration and the former Roma boss has admitted that he would welcome the challenge of qualifying the country for the 2014 World Cup.
"For me it would be a real pleasure to coach Russia; it would be a great honour for me, [although] I know it would be a really tough job," the Tuscan told his club's official website.
Spalletti took charge of Zenit in December 2009, just over three months after standing down as Roma boss following the Giallorossi's poor start to the Serie A season.