Goal exclusively revealed in May that Chelsea are ready to enter the running for the the 24-year-old, while Liverpool are also keen on the striker who is valued at £30 million by his club.
Benteke has raised doubts over his future at Villa Park, though would only leave if he is guaranteed first-team football, and Hazard "would like nothing better" than linking up with his Belgium team-mate domestically.
"If Christian signs with us, I would be the happiest man in the world," Hazard told reporters.
"I have a great relationship with him and would like nothing better than to play with him. Christian is 25. He is at an age where he has to make a good career choice.
"Not that Aston Villa is a small club but he has already played many great games and can now play in the Champions League."
Villa boss Tim Sherwood has told Benteke to reject advances from Liverpool to favour of staying at Villa Park ahead of Euro 2016, where he could earn a move to the likes of Real Madrid.