Amuneke is currently a free agent after leaving Zanaco in 2022.
Amuneke said: “I am a Nigerian, all my life I have served Nigeria as a player. If Nigerians now find me fit to add value to the team, of course, it is a welcome development.
“But for now, it is not necessary to talk about this issue.We have to support the team and other Nigerians, they are going through a lot of sadness.
“We all want the best for our country, the best for our football. This has to be respected.”
The former Tanzania coach criticised Jose Peseiro’s defensive approach, which affected the performance of Victor Osimhen in Ivory Coast.
Amuneke continued: “You know in this AFCON, Osimhen spent a lot of time helping the team to defend, and when you have a striker that is so dangerous, move a lot and then at the end of the day he is coming to defend. I think it reduces his quality.
“Osimhen is a player that when you look at him, moves a lot and needs players that can actually, you know, give him those balls into spaces where he can become effective and functional.”
Amuneke was an assistant coach in the coaching crew that failed to qualify for the 2022 FIFA World Cup, losing out to Ghana in the play-off.
He was part of the consortium of coaches headed by Augustine Eguavoen, alongside the likes of Salisu Yusuf, Paul Aigbogun and Joseph Yobo.
Jose Peseiro’s contract as the Super Eagles coach ended after the Nations Cup. It is unclear if the Nigeria Football Federation will renew his contract.