The trainer, who led the Flying Eagles to a quarter-final finish in Colombia, claims that the NFF has not paid his salary from 2009 to December 2010
The coach, who took the Flying Eagles to the quarter-final of the tournament where they lost to France says that the Nigeria Football Federation must settle his bills from late 2009 to December 2010 when he was in charge of the U17 squad.
Obuh claims that the NFF paid him from January 2011 till August 2011, but they still owe him for his first year on the job where he took the U17 team to a silver medal finish at the 2009 Fifa U17 World Cup on home soil.
"It's inexplicable that they paid me from January 2011 to August 2011 but failed to pay all through my first year in the job," Obuh told BBC Sport.
"I've been verbally asked to continue as the Under-20 coach, but no one is saying anything about the backlog owed.
"I love my job but that is not going to take care of my family and I hope they [NFF] understand that," he said.
NFF spokesman Ademola Olajire said Obuh's latest remarks are "unfortunate".
Olajire attributed the possible delay in payment to a 'mix-up' or 'misunderstanding' in administrative paperwork.
"That's really unfortunate to hear but I suspect there is a misunderstanding somewhere for part of his payment to be missing," Olajire told BBC Sport.
"The NFF technical department as well as the secretary-general are always on top of issues relating to this.
Obuh’s frustration is mirrored by many others before him who have been owed salaries while in various coaching positions with the Nigerian federation.
"They owe me the money, I've been demanding it but no one is interested in sorting it out for me," Obuh said.
"The records are there for all to see. I didn't get my salary since I took over after the 2009 Fifa World Cup."