The Argentine midfielder has endured a torrid debut season at Stamford Bridge and has failed to justify his £15 million price tag since his switch from Manchester United.
Veron was sidelined for a lengthy spell with a back injury while his performances have also drawn stinging criticism.
The 29-year-old is now chasing an exit from Chelsea after his inability to live up to expectations, with Internazionale favourites to take Veron back to Italy.
The former Lazio and Parma schemer is aware of Inter's interest in his services and is keen to return to the familiar stamping ground of Serie A.
But Veron fears Russian billionaire Abramovich may not want to sell although he hopes any Inter offer will be accepted by The Blues.
"There is interest from Inter but I know that the owner of Chelsea does not want me to go," Veron told Buenos Aires newspaper Ole.
"But if the offer is good, it would please me if it was analysed."
Veron left Serie A for Old Trafford three years ago and admits he has enjoyed his stint in England but believes it is time to close that chapter in his career.
He added: "It has been good on a personal level although not so good on the sport side of things.
"I believe that my cycle in England is finished."
