The 22-year-old, who can play in either full-back positions, has reportedly attracted a host of interest from Europe with his performances in recent months.
However, his representative Ulisse Savini has suggested that a move to the Premier League is a viable possibility.
He told La Lazio Siamo Noi: "We are looking into several offers but they have to meet the demands of Lazio. The most serious interest? That is Everton and Stoke City."
Cavanda has been with Lazio since 2007.