O'Neill has seen his position consistently questioned over the last few weeks despite a season which has brought a Carling Cup Final, FA Cup semi-final and a place in next season's Europa League.
He said: "Of course I want to stay. Why wouldn't I? It is a fantastic football club and it has things in place."
O'Neill has spoken out after it was claimed his address to the audience at Villa's Player Of The Year awards on Wednesday could have been viewed as a farewell speech.
He added: "I am well aware these days, more so than ever before, of how things work.
"Do you deny the story and thereby people say that there is a story in the first place or do you let it run and by letting it run and not denying it you are giving it credibility?
"So that saying 'damned if you do and damned if you don't' is something that comes to mind pretty readily.
"I didn't intend to say anything at all at the dinner but as people were enjoying themselves I did speak. I let the players disappear as I didn't want to be offending them in any aspect by speaking about them.
"I cannot understand how people can pick up in a totally different aspect from what was actually said.
"I don't how many ways there are to answer this question. I have enjoyed the season immensely. It has been very challenging and that has been part of the fun.
"The season in many ways has been exceptional as we have played more games than most clubs."
O'Neill will hold an end of season summit with the club's owner, Randy Lerner, and he added: "I know I need to speak properly with Mr Lerner.
"His enthusiasm is still as strong as ever. He wants to improve Aston Villa
and improve Villa Park so that people can enjoy the game in even more comfort.
"Interestingly I saw Randy Lerner a couple of days ago. He came over with the express desire to stay around for some days to cover the Blackburn game and to do something with the press as he normally does.
"He has been called back to America because of something which has cropped up but he will back in the immediate future and I will have the opportunity to speak to him properly.
"Judging from what he was saying to me his only regret has been not seeing the number of games that he would have liked to have done.
"He is in really fine form. There is plenty to discuss, as we have done over
the past few years, but overall the last thing you want to be doing is putting
words into someone else's mouth who is fully capable of speaking for themselves. I think he will do that in the not too distant future."