Real Madrid are in hot pursuit of the Belgian who was awarded the Golden Glove in this summer's World Cup.
Unai Emery has already spent over £70million on five new recruits since replacing Arsene Wenger in charge, and the Spaniard will need to raise funds if he is to continue the rebuilding process.
Hazard has repeatedly hinted that he would be open to joining Madrid at some stage of his career, and Matteo Pedrosi of Calciomercato claims that he has now agreed personal terms with the European champions.
The European champions have a deal in place with Chelsea to sign goalkeeper Thibaut Courtois and have also agreed terms on a contract with the Belgium global.
Speaking to Cadena SER, Martinez said: "It could be the best time [for Hazard] to try something different". I can decide if I want to stay or go, but Chelsea will make the final decision - if they want to let me go, " Hazard submitted.
After Belgium's win against England in the third-place playoff, Hazard admitted he was considering leaving Chelsea.
Courtois's current contract at Stamford Bridge is set to expire at the end of next season and that means that Chelsea FC could end up losing him on a free transfer next year. "You know my preferred destination".