Neil Lennon is "flattered" by being linked to the vacant managerial post at the Republic of Ireland but stressed his satisfaction as Hibernian boss.
Lennon, who worked under O'Neill at Leicester City and Celtic, played 40 times for Northern Ireland between 1994 and 2002.
Ahead of the visit of Dundee in the Ladbrokes Premiership on Saturday, the 47-year-old said: "I am in a very good job here and I am just concentrating on that at the minute.
"It is just speculation. I am flattered if there is a link, I have not seen anything or heard anything regarding myself, all I have been doing is concentrating on us getting back into winning form because that is important.
"I am sorry to see Martin go because he had such a huge influence on my career, 10 years I played under him."
Elsewhere, Wigan Athletic manager Paul Cook has indicated he sees his immediate future at the Lancashire club amid talk he was in the running for the Ireland job.
Cook managed Sligo Rovers for five seasons between 2007 and 2011, leading them to two FAI Cup titles in a row in his final two years at the helm.
He assembled much of the squad that would bring Sligo Rovers their first League title in a quarter of a century in 2012, though he departed for England before this was achieved.
He has won successive league titles in England, guiding Portsmouth to the League Two title in 2016-17 and then guiding new club Wigan Athletic to the League One title in 2017-18.
He made even greater headlines in the FA Cup last season, leading Wigan to the quarter-finals, famously defeating Pep Guardiola's Manchester City en route.
While the odds on Cook taking the Republic of Ireland job had shortened in recent days, the manager told Wigan Today that he sees his future at Wigan.
"Certainly at Wigan Athletic, I am very, very happy - albeit we know there’s a lot of work ahead. We are in a very tough division, we know there’s no ready-made solutions to our problems.
"But I don’t actively look outside and think: ‘Ooh, that would be a nice job to go into’.
"While the Republic of Ireland would be a fantastic job, maybe in the future and everything else - and I do have an affinity with the place from my time there - I want to be successful here at Wigan first and foremost."