The former international has said that the West Brom forward should be banned from coming near the Super Eagles because of his attitude
Bassey said looking at the way Odemwingie reacted after being left out of the provisional list of the Super Eagles for the Nations Cup that the West Brom star did not show maturity in the way he handled the issue.
"Osaze has certainly turned into a player that will never inspire other players," Bassey told Goal.com.
"At all times, there must be issues to be settled between players, coaches and the federation. If he is aggrieved, he has a right to express his opinion, but there should be a way he can do that which will be totally different from the way he behaved last Sunday.
"But the way you handled it goes a long way to making sure that there is progress. He probably thinks he is doing Nigeria a favour by playing for the Super Eagles. He thinks Nigeria cannot help him in anyway again.
"But he is mistaken because you never can tell when you will need Nigeria. He has quarrelled with almost all the coaches of the Super Eagles that he has played under.
"The Nigeria Football Federation should ban him from coming near the Super Eagles. A player can be talented, but indiscipline can cause that player not to achieve his aims and desires in the game.
"I hope this will not cause distraction in the camp of the Super Eagles as this should make them resolve to win the trophy at the 2013 Africa Cup of Nations," said Bassey.