FIFA 13 is a wonderful game, but for some reason, we might want to bypass the online check at the start up of the game. Because, adding it to firewall or other program makes the Game to timeout (which means it'll be retrying the connection for a while). To have a faster startup time, you could just block the connections made by game. This can be done easily by adding the said connections to your host file.
Host file can be found at %System32\drivers\etc\hosts
I have made a simple application that will add those lines to your Host file automatically upon running. It can be downloaded >>Here<<
This patcher/online check remover, should be compatible with FIFA11 and FIFA12 too. I haven't checked though.
Metascan result: https://www.metascan-online.com/en/scanresult/file/51859b9d4ac44cd8945f79904d9f57b4