Certainly you have the possibility to choose any bank you want for your account. You’ll find every bigger Austrian and quite some international bank branch offices in Graz. Most of them offer free bank accounts for students <26. For more information, have a look at their websites: Raiffeisenbank, Sparkasse, Bank Austria, Krentschker, BAWAG, Volksbank.

Don't forget to clarify the conditions for closing the account.