Shai
I really don't know this kind of stuff but I browsed both Guide Section and Help Section but I didn't find any solution regarding your problem. This is perhaps the solution more relative to your problem.
Cannot Connect Issue (Cannot connect to the game. Please check your network)
There are many reasons why this occur: (1) Internet Connection Issues, (2) Out-dated Patch of Client, (3) Firewall/Antivirus blocks the connection to the application, (4) and etc.
Below options might help you solve the problem:
(1) Internet Connection Issues
Check internet cable if it was correctly attached.
Diagnose your internet connection by visiting www.speedtest.com
If the connection isn't stable, contact your internet service provider.
(2) Out-dated Patch of Client
Open Mazey Flyff Patcher.exe and Fully Patch.
Note: It is advisable to use regularly the patcher to update new files and avoid problems in the future.
(3) Firewall/Antivirus blocks the connection to the application
Include Mazey Flyff Patcher.exe and neuz.exe to your antivirus and firewalls exception list. Reboot PC
(4) Neuz problem
Delete Neuz.exe and re-patch
(5) Account suspension
Ask staff assistance for account verification.
I didn't know if this will help you. But either way, give it a shot. Though my only guess is because of your internet. I mean I seldom got that problem sometime but after a while, I can reconnect smoothly. I hope Grey or any other staff can help you with this. It's just that this is not my field. Good luck to you. And please do extend your patience more and wait for other response. Thanks.