TalkSPORT reports how speculation has suggested the 26-year-old defender could be sold by Jose Mourinho, bringing to an end the Spaniard's seven-year stay at the Santiago Bernabeu.
Red Devils boss Sir Alex Ferguson has been credited with an interest in bringing Ramos to Old Trafford, despite recent impressive performances by current right-back Rafael.
Chelsea have also been monitoring the Real Madrid star's situation in the Spanish capital, with a view to adding him to their Stamford Bridge ranks.
The interim arrival of Rafa Benitez could have played into the Blues' hands, until Ramos revealed his intentions to remain in his homeland.
"Hopefully I can retire at Real Madrid," he was quoted at the launch of his autobiography.
"Firstly I am grateful to (club president) Florentino Perez because he brought me to the best club in the world. I also have to thank my colleagues. I am very happy here.
"I hope the president is captain of this ship for a long time. I'm in the middle of my career, and hopefully I will have time to write another book and be remembered as a good guy."
Ramos has been a virtual ever-present for Real Madrid since joining from Sevilla in 2005, and has gone on to establish himself as one of the most exciting defenders in world football.