Reports on Tuesday claimed that O'Neill was in the running to succeed Neil on a permanent basis, but the former Brechin City and Shamrock Rovers chief intends to continue guiding Northern Ireland on the path to Russia 2018.
"There has been no contact between myself and Norwich City," he told BBC Sport. "Realistically, it's probably not what I would be looking for at this minute time in time.
"I think the club are probably in the market for a head coach. I'm a manager. I've managed my country for the last five years and I intend to manage my country going forward.
"Any approach would have to be made through the Irish FA and it is my understanding that has not happened."
O'Neill signed a four-year deal with Northern Ireland in March 2016, before taking them to the last 16 of the European Championship finals.