The 20-year-old was voted out of the competition last week after performing Lady GaGa's 'Bad Romance' and Earth, Wind and Fire's 'September'.
Speaking to American Idol host Ryan Seacrest on his KIIS-FM radio show, Dixon admitted that he was "a little shocked" about his elimination.
"But stuff happens," he added. "And you know, you've just got to roll with it and you've got to keep on fighting."
Dixon repeated his suggestion that his choice of a Lady GaGa song could have confused his fanbase and added that he was also unhappy with how he came across on the show.
"After seeing myself come off the stage after 'September', I hated the way I looked on camera and was portrayed," he said. "And I looked over at you [Seacrest], and I was like, 'Man, TV editing is something, huh?'
"I think that was another contributing factor and that's one of the reasons I apologised on stage that night [after the results]."
Dixon explained that he felt like he "needed" to say sorry to his fans, adding: "Here I am trying to be someone that people can look up to and to start a movement, and I acted out of character and I felt like I let some people down by doing that, so I definitely needed to make it right while I still could on the show."
However, Dixon revealed that he felt "very encouraged" by the judges when he left the show, saying that he is now "ready to start writing and to put out a record".
American Idol continues Wednesday at 8/7c on Fox.
> American Idol's Colton Dixon on singing Lady GaGa, Christianity, more