The 37-year-old hit out at selectors a day before the squad was announced last week -- without his name included.
"If I am not selected the one-day team will not be able to stand up," Younus said in a television interview.
The head of the Pakistan Cricket Board (PCB) Shaharyar Khan said the batsman, who has averaged a dismal 18.32 in 29 one-day matches in the last three years, was clearly frustrated.
"I respect him a lot and we will sit with him and discuss it with him but we will consider taking action," PCB chairman Khan said.
"There are two actions, extreme or moderate, but we have to find a position in between. Something should be done."
Read: Wasim advises Younis Khan to focus on Test cricket only
It is the third series in a row for which the selectors have overlooked Khan, who scored just 43 runs in three World Cup matches in Australia and New Zealand earlier this year.
But he has been in fine Test form, rolling back the years to hit a sublime 171 not out as Pakistan chased an improbable 377 to beat Sri Lanka in Pallekele in July.
He was further piqued over an event on Saturday to launch the logo for the new Twenty Pakistan Super League.
Read: Younus lashes out at PCB for no invitation to PSL
"I was not invited and that made it easy for me to decide whether to play the PSL or not," he retorted on Saturday night.
But the PCB's Khan said all players including Younus were invited.
"If we had not invited Younus and other greats I would have been apologising," said Khan. "Younus saying he was not invited is factually not correct."
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