Trapattoni’s advisor Domenico Ricci says the veteran Italian was approached by the Elephants a week ago to lead the side at the World Cup.
“He refused an offer from Ivory Coast a week ago because they offered him only the World Cup,” Ricci told BBC Sport. “But also because I think he is more interested in Nigeria than Ivory Coast.
“He is not tired yet. He has a very young mentality, so he wants to do something and he's not just interested in the World Cup.”
Nigeria are on the hunt for a coach to lead them at the 2010 World Cup finals after firing coach Shaibu Amodu a week ago.
The 70-year-old Italian is one of coaches on the Nigerian Football Federation’s list of preferred candidates.
Trappatoni is currently in charge of the Republic of Ireland and is contracted to lead them through to the end of the Euro 2012 qualifiers.
Earlier this week, a Football Association of Ireland official expressed confidence that Trapattoni would stay in the Irish job.
Trapattoni's name is believed to be on a list of six other coaches being targeted by Nigeria.
The others being targeted by Nigeria include Egypt coach Hassan Shehata, Russia boss Guus Hiddink and Bayern Munich coach Louis Van Gaal.
Former Senegal boss Bruno Metsu, ex-Ghana coach Ratomir Dujkovic and one-time England caretaker manager Peter Taylor are also on the list.
The NFF has pledged to reach a decision by the end of February.