"Prosecutor Ghassan Oueidat has received from Interpol a red notice ... against Mr Ghosn based on an international arrest warrant issued by France" last month, an official told AFP.
The prosecutor "will set, within the coming days, and perhaps early next week, a date to summon and question Mr Ghosn," the official said.
Interpol notices, which are not international arrest warrants, ask authorities worldwide to provisionally detain people pending possible extradition or other legal action.
Interpol issues them at the request of a member country.
The court official said Mr Oueidat could respond by issuing an immediate warrant for Mr Ghosn's arrest or he could hold off until his case is transferred from France to Lebanon.
If the crimes attributed to him by France are considered to be "punishable by Lebanese law, he can be tried before Lebanese courts", the official said, adding that extradition was unlikely.
"Lebanon will not agree to extradite Mr Ghosn, who is of Lebanese origin, to France because the law prevents it," the official said.
France sought the arrest of Mr Ghosn last month over suspect payments of about €15 million ($16.3m) between the Renault-Nissan alliance that he once led and its dealer in Oman, Suhail Bahwan Automobiles.
The allegations against him include misuse of company assets, money laundering and corruption.
Mr Ghosn, 68 — who holds French, Lebanese and Brazilian passports — was initially due to stand trial in Japan after his detention there in 2018, but he jumped bail and fled to Lebanon.