Sport says Hazard has given the green light to Real Madrid to try and sign him this summer.
The Belgian has been been contacted by Los Blancos boss Zinedine Zidane following his return to the Bernabeu, according to reports in Spain.
Zidane is apparently looking for a new spearhead to lead his project in the Spanish capital after a dismal season for Real.
Hazard has allegedly already agreed terms on a five-year contract in Madrid worth over £14million-a-year, reports the Mirror.
But Real must thrash out a fee with Chelsea who are understandably reluctant to let their most important player leave.