De Rossi, who signed a new five-year contract with Roma in February, appeared to reignite speculation about his future when he claimed English football was "more interesting" than its Italian counterpart.
The midfielder has previously been linked with Manchester City and Manchester United and claimed he had received several offers to defect to the Premier League.
He said: "I have received many offers from English football. And I must say that I feel attraction for it.
"I like English football very much. I think now it's probably more interesting than Italian football.
"There are lots of outstanding and talented players, as is the case for Spain as well."