US Bank accounts are not entered on a tax return. You do have to enter any interest received from a bank account and reported to you on a Form 1099-INT or dividends reported to you on a Form 1099-DIV.
If you want a direct deposit of a tax refund or to pay the taxes owed by direct debit you have to enter a bank routing number and account number.
If you have Foreign accounts, depending on the amount in the foreign account, you have to report those accounts using Form 8938 or use FinCen Form 114.
