Prior to Tuesday's 5-1 Champions League victory over Legia Warsaw, speculation suggested the Portugal international had grown tired with negotiations over a new contract and was considering a move elsewhere.
Real have supposedly offered the 33-year-old a new one-year deal but Pepe is thought to be angling for a longer contract, leading to the rumours over his future.
Were he to leave the central defender would have no shortage of offers, despite his age, but he insists he remains relaxed over the whole situation, indicating he is hopeful of a positive outcome.
"Renewal? I’m calm, I want to help Madrid, the club I love a lot. Then my time will come. I’m calm," said Pepe.
"I hope the club call me first to resolve this situation. I’m calm, the people at the club know that this is my home.
"I’ve already said that I hope to be at Madrid until the last second. My objective is to retire here."