You can transfer a .GR or .EU domain to Papaki.gr whenever you feel like it, even if the domain names is in quarantine . However you cannot transfer .COM, .NET, .INFO etc. domain names, while in quarantine state.

The domain transfer procedure takes 5-7 days, so its better not to wait until the last minute to transfer your domain. See which domain name features you get with your domain at Papaki.gr.