Yes, you can do this for foreign rental income as well as long as long it isn't listed as an exception in the treaty. Some treaties do list the types of income that is exempted so make sure in your country's treaty that there is no exception for rental income.
As an FYI, make certain that you do not try to claim a foreign tax credit for this income you exempted. I think you know this but I thought I would mention it anyway.
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