The Uruguay international believes he is already at one of the world's great clubs but claimed "anything can happen in football" when pressed on a potential transfer
The 27-year-old signed from Napoli in a €64 million deal last year but has been linked with a possible exit in recent months after growing frustrated at playing second-fiddle to star striker Zlatan Ibrahimovic.
Manchester United have long been linked with a potential swoop for the Uruguay international this summer, although PSG president Nasser Al-Khelaifi has always insisted he would not sanction the sale of the former Palermo man.
And though Cavani insists both he and compatriot Luis Suarez - who has been heavily linked with Real Madrid - are proud to represent PSG and Liverpool respectively, he suggests his long-term future remains in the balance.
"Luis Suarez and I are already at great clubs," he is quoted as saying by Le 10 Sport when asked whether the World Cup experience with Uruguay gave him the desire to join a big side.
"We belong to teams that are among the best in the world. I think we defend the colours of our club with pride and prestige.
"But in football, you never know, anything can happen. One day you're in one team and the next you can be in another."
Cavani was involved in both Suarez's goals as Uruguay recorded a vital 2-1 win over England on Thursday to keep their hopes of reaching the last 16 of the World Cup alive.