If you meet the definition of an Oregon resident, then you must file an Oregon resident tax return. You have to pay Oregon tax on all of your income, no matter where the income is from.
It doesn't matter what currency you are paid in. But on your U.S. federal and state tax returns, you must convert all the foreign currency amounts to U.S. dollars. See the following page on the IRS web site for more information.
Foreign Currency and Currency Exchange Rates
