Spalletti holds St Petersburg talks
"We are considering matters," Spalletti, who quit Roma just two games into the season, told reporters when asked if he would succeed Anatoly Davydov at Zenit.
He added: "The national team is the dream of every coach. I feel ready, I'm talking about a foreign national side but also Italy's.
"Right now, if I had to make a guess I'd say my future lay more abroad."