"I signed the agreement to leave because there was never a question I should stay here," Eriksson told Saturday's edition of The Guardian newspaper in an interview.
"I told the players and staff today (Friday) and the people in the office: that's it."
Eriksson, who has accepted the honorary title of joint life president, is now free to accept other roles with renewed speculation that he could be taking part in the World Cup later this year as either the coach of Nigeria or North Korea.
Jim Rodwell, the club's new chief executive, was quoted by the BBC on Thursday saying: "He has agreed to stay on as joint life president which is a less hands-on role but it gives people an idea of how honourable Sven has been to deal with."
Rodwell added that the role occupied by Eriksson would not be filled in the short to medium term but he praised the Swede's contribution to the Midlands club, which was formed in 1862.
Eriksson, who has also had spells as manager of Mexico, Manchester City and Lazio among others, unexpectedly moved to Meadow Lane last year with the club's former owners aiming to take England's oldest Football League team back to the top flight after years in the doldrums.
But the club's grand plans to reach the Premier League in five years under owners Munto Finance failed to get off the drawing board with former England defender Sol Campbell quitting Meadow Lane after playing just one game.
WENT WRONG
"I liked the idea of the project, the challenge to do it," Eriksson told the Guardian. "It was like a dream to me. And if all their promises had been true we would have done it."
"All I can say is I've gone in with my eyes open and I liked it and it went wrong. Maybe I should have had suspicions but I didn't have that in the beginning."
The club was bought by Peter Trembling for 1 pound in December but on Thursday he told the official County website he had sold his stake.
"I am delighted to announce that the search for investment into this football club has concluded and last night I signed over my 90 percent shareholding in the club and hence the ownership to a new consortium," he said in a statement.
"The new owners of the club are not of the 25 million pounds plus ilk but they do know the football business and most importantly have sufficient funds available to ensure the immediate survival of this football club."
Trembling, who resigned as chairman with immediate effect, said the consortium would outline their plans for the Midlands club at a news conference on Monday.
He also told Sky Sports News on Friday he planned to sue Munto Finance after they "left the club in a real mess, a real hole."
County are seventh in League Two, occupying the last play-off spot, and visit Premier League club Fulham in the FA Cup fifth round on Sunday.
