The Lancashire native portrayed the ninth incarnation of The Doctor when the sci-fi series was revived in 2005, but departed after only one series. He was succeeded by David Tennant.
During an interview on Graham Norton's BBC Radio 2 show, Eccleston expressed pride over portraying the Time Lord and admiration for Doctor Who's former executive producer Russell T. Davies.
"I heard Russell was going to do Doctor Who and I thought, 'That's quite strange'," the actor admitted. "When I heard he was writing it, I emailed him and said I'd like to play the part. I went after the part."
Eccleston added: "I'd done a lot of television for adults. I actually think the most intelligent and the most difficult audience are children. They will be not patronised... I wanted to front a big series like [Doctor Who], which I felt was going to be intelligent."
The star went on to profess that he was drawn to the role of the time-travelling alien because of the character's belief in not judging others.
"The thing about The Doctor is, he's very inclusive. He doesn't see the alien in aliens and I loved that about him," he added. "Also the fact that he's never at home. He's a Time Lord and he's always, always falling though the universe. When I thought about that, I thought I could play that."
After insisting that his only intention was to do one series to "make that show a success", Eccleston balked at Norton's question as to whether he'd reprise the role of the Ninth Doctor for Doctor Who's 50th anniversary in 2013.
"No, I never bathe in the same river twice," Eccleston said.
Last week, current showrunner Steven Moffat teased that John Barrowman could return as Captain Jack Harkness in a future Doctor Who episode, and John Simm later expressed openness to re-emerging as The Master.
Doctor Who returns with new episode 'The Curse of the Black Spot' this Saturday on BBC One in the UK and on BBC America in the US.
> Rate last weekend's episode 'Day of the Moon'
Listen to Christopher Eccleston discuss Doctor Who below: