That is hard to say. There is no great wall where they place the names of folks who have been evicted, but there are reporting agencies. If the eviction in california was picked up by a reporting agency, and if an Oregon landlord obtains a report that discloses the eviction, it may well make a landlord hesitant to rent to you. You can submit your application to rent, and see what happens.
This comment is general in nature and is not intended as legal advice. It does not create an attorney client relationship and obviously is not confidential. You should contact an attorney in your area who can review with you all of the relevant facts and give you specific legal advice.
You also don't want to lie on applications. If you are asked if you have been evicted, better to be upfront and tell the tale than to fail to disclose by checking the "No" box and then getting denied because it shows up on your credit report.
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