Know how much money you want to exchange. This will help prevent confusion at the bank and will also help you avoid losing money by simple errors or because of a language barrier. Some banks charge an exchange fee. Know what it is before you hand over your money.
Find a bank. Several banks are located in Panama (see Resources). These banks can be found with a simple web search or by asking a local. If you don't speak Spanish, the web may be your best option.
Take your currencies to be exchanged to the bank. Several banks in Panama are willing to exchange different currencies to U.S. dollars. Some banks will not accept old or wrinkled bills. Make sure that all the bills you are trying to exchange look close to new.