No, you don't have to create any special account to play Ace of Arenas. You can log into the game by using Apple Game Center (for iOS) or Google Play (for Android). This way, you can also access your account from various Apple or Android devices, meaning you don't need to worry about losing your progress.
However, please note that Ace of Arenas does not support cross-platform functionality. In other words, if you are playing the Android version, you will not be able to transfer your account to iOS, and vice versa. If you would like to play the game on both iOS and Android, you will need to create a separate account for each one.