@kimounkisa Hi, it is still an issue lately. With my friends what we found to be working is the following:

close FAF client completely change default browser (usually we use Firefox by default, and it seems to be causing the problem) to i.e. Edge delete the client.prefs file from C:\Users\yourName\AppData\Roaming\Forged Alliance Forever start FAF client, click on logon, and this time it should send you to your new default browser to logon with your FAF account.

Hope it works for others too.