Enyeama quit international football after making a record 101 appearances for Nigeria in 2015.
He had been without a club since August 2018 when his contract with French side Lille was terminated by mutual consent.
In an interview on Friday with Brila FM, the 37-year-old said that should the country call for his services, he would oblige them.
“I cannot say no to Nigeria, that’s the truth,” Enyeama said.
“If Nigeria tells me today ‘Vincent, we have goalkeeping problem; we need you’, I will be there. I can’t say no.”