Hazard has been a crucial member of the Chelsea squad since joing the club in the summer of 2012 from Lille, but has been consistently linked with moves away.
The Belgium worldwide scored twice in Chelsea's 4-1 victory over Arsenal and then revealed his departure is likely to be confirmed in the "next few days".
I will always support Chelsea and I love them.
"Next year Chelsea will play in the Champions League, surely without you". He always had this dream to play for Real Madrid and we will see what happens.
With Cristiano Ronaldo having left at the start of this past season, the left inside-forward position has been filled by the likes of Vinicius Junior and Marco Asensio, who scored just nine goals between them.
Right now, Hazard is still a blue, but Zidane and Real Madrid are hoping to see him scoring and making goals in white in the near future.
"I think it is a goodbye, but in football you never know", Hazard told British broadcaster BT Sport.