Claudio Ranieri has said his "dream died" when Leicester sacked him.
The Italian led the Foxes to last season's Premier League title, but on Thursday he lost his job.
In a statement, he said: "Yesterday, my dream died. After the euphoria of last season and being crowned Premier League Champions all I dreamt of was staying with Leicester City, the club I love, for always. Sadly this was not to be."
Republic of Ireland boss Martin O'Neill has ruled out a return to Leicester City to succeed sacked Claudio Ranieri. O'Neill won the League Cup in 1997 and 2000 as Foxes manager.
The 64-year-old told BBC Radio 5 Live: "I wouldn't be going.
"I'm enjoying the job here (with the Republic) at this moment and we have some big games ahead."
O'Neill was then asked about the possibility of doing both jobs simultaneously.
"I hadn't even thought about it," he said.
"And if that were the case - not talking about myself, but in general if someone were taking time to do two jobs at the same time - I think there would be problems if you didn't get the results on both sides."
Leicester winger Marc Albrighton has denied he had any part in Claudio Ranieri's sacking
Jamie Vardy has joined Kasper Schmeichel in denying any involvement in Claudio Ranieri's sacking as Leicester City boss
Leicester City interim manager Craig Shakespeare has said the club will have "utmost respect" for former manager Claudio Ranieri.