Hazard captained and led his Belgian side into the semi-finals of the FIFA World Cup after overcoming a stern test against Brazil.
Convincing PSG to sell one of those two will likely be as hard as convincing Chelsea to part with Hazard, but Les Parisiens' ongoing issues with financial fair play should give Real and advantage―and the Blues as well.
Hazard added; "For now, it's the World Cup".
Arsenal complete signing of Lucas Torreira in £26m Sampdoria deal
The 22-year-old played all five of Uruguay's World Cup matches in Russian Federation , as they crashed out in the quarter-finals following a 2-0 defeat by France .
Hazard now wears the number 10 shirt for club and country, but Luka Modric occupies that jersey at the Bernabeu.
Elsewhere, Neymar and Robert Lewandowski have moved down the list after the World Cup, while Kylian Mbappe is unlikely to leave PSG any time soon. I just want to play the games.
Chelsea star Hazard is on Real Madrid's wishlist to replace Ronaldo, who joined Serie A giants Juventus today. Belgium defeated France in their last meeting during 2015 global friendly, Red Devils won 4-3 in that encounter.
'Zidane or no Zidane, the white jersey [of Real] is special but the blue jersey suits me well so it does not bother me if I stay.