You can do an international bank transfer but chances are this will be expensive.
If it's a non-trivial amount of money, I would go through a bank that's specifically offers efficient international transfers. I use wise.com (no advertising intended). I have set up two accounts with my "transfer bank": one in Euro with an address in Belgium (and an IBAN number) and one in US dollars with an address in the US.
Using Wise as an example: In your case you can transfer the money from Postbank to the Wise Euro account using IBAN. That's free and only takes a few seconds (as it should). You can than transfer between the two Wise accounts at a very low fee (0.4% the last time I did it) and then use an ACH transfer from the US$ Wise account to your US bank. Whether you have to pay for the ACH transfer and how long it will take depends on your US bank.