Eriksson managed the Three Lions from 2001 to 2006, including guiding them to three World Cup quarter finals during his tenure.
The Swedish coach had previously revealed in January that he had "best case case a year" to live, ahead of a new documentary which is to be released on Amazon Prime tomorrow (23 August).
In this message, Eriksson said: "I hope you will remember me as a positive guy trying to do everything he could do".
He continued: "Don’t be sorry, smile. Thank you for everything, coaches, players, the crowds, it’s been fantastic. Take care of yourself and take care of your life. And live it".
Eriksson also spoke honestly about facing his inevitable death.
"I had a good life. I think we are all scared of the day when we die, but life is about death as well", the former England boss said. "You have to learn to accept it for what it is. Hopefully at the end people will say, ‘yeah, he was a good man’. But everyone will not say that".
Sven Goran Eriksson's tenure as England manager has also been marred by controversy, including affairs with Ulrika Jonsson, and FA secretary Faria Alam.
"I didn’t do anything criminal", Eriksson stated when asked about his affair with Jonsson. "Sex is one of many good things in life for all of us".
Along with England, Sven Goran-Eriksson has also managed Benfica, Lazio, Roma, Fiorentina, Sampdoria, Manchester City, Leicester City, and Mexico. He was also crowned Serie A Coach of the Year in 2000, after winning the domestic league with Lazio that year.
The Swedish coach also won league titles in Sweden, and Portugal as well as Italy.
He also won the BBC Sports Personality of the Year Coach Award.