Ms Zourabichvili – an opponent of prime minister Irakli Kobakhidze – was widely expected to veto the law.
Meanwhile, Mr Kobakhidze has called on youth protesters to select at least 10 representatives to join a public discussion with him on the controversial law.
According to The Interpressnews agency reported on Friday, he said: “I am ready to not only listen to their critical remarks, but in specific cases, share them. I expect the same attitude from youths.”
Critics say the law is inspired by authoritarian legislation neighbouring Russia uses to crush dissent.
Some are concerned that the law will derail the country’s path to EU membership as conditions for membership involve candidate countries implementing reforms on democracy and the functioning of the state, the rule of law, fundamental rights and reform of public administration.
Georgia was granted EU candidate status in December 2023.
Massive rallies against the bill have gripped the Caucasus country for nearly a month. Photos and footage posted online in recent days appeared to show violent altercations between protesters and police.
