The 26-year-old has made 154 appearances for Chelsea so far, keeping 58 clean sheets along the way.
Another player still being linked with a Chelsea exit is Brazil winger Willian.
Head coach Maurizio Sarri on Sunday, following the Community Shield loss to Manchester City at Wembley, said he would sanction Courtois' departure if the goalkeeper expresses a desire to leave.
Chelsea's eagerness to halt Real Madrid's efforts to sign Hazard may lead to him being offered the chance to become club Blues captain, yet persuading Courtois and Willian to stay will be a tough task.
He has been strongly linked with a move to Real Madrid and he has previously stated that he would like to go back to Madrid due to family reasons.
Chelsea goalkeeper, Thibaut Courtois, says he is relaxed regarding his potential transfer from the club to Real Madrid.
And Courtois reportedly stated his wish to the Italian on Monday.
Manchester City's pursuit of Jorginho faltered because Chelsea had a more pressing need for the Italy midfielder.
Eden Hazard and N'Golo Kante also missed Sunday's game after their World Cup efforts, with Willian coming on only as a substitute. "If they decide to leave, I think we will continue with fantastic players". I only want players with a very high level of motivation.
"Of course, the beginning is always a little more hard to adapt to a new style of play, which changes everything, but we have everything we need to improve, to continue working and start the season well".
The west London side is getting to grips with life under their new boss after he was drafted in as Antonio Conte's successor at Stamford Bridge last month.