The defender, who joined the Serie A side from Manchester City in 2012, has been linked with moves to AC Milan and Tottenham Hotspur.
The Montenegrin told pobjeda.me: "AC Milan, Tottenham or Zenit in my future? Many of those rumours are just speculation.
"I have a contract with Fiorentina for another two years and so far nobody has told me anything, although the summer is long. We'll see what happens.
"The Premier League? I'm well in Italy, but maybe one day I will play in England again."
Savic made 43 appearances in all competitions for Fiorentina in the 2013-14 campaign.