Now, some homeowners are calling on the Harris County Appraisal District to cut taxpayers some slack. Taxpayers’ plea for relief“Here’s your stimulus check for $1,200; and here’s your bill for $4,000 for your property tax,” quipped retired southwest Houston homeowner Ed Hobson. “We have to follow the state tax code.”Barnett said the tax code requires that properties in Harris County be appraised on Jan. 1 of every year. Rather than changing the tax code and laws, he said taxing and other government agencies will have to be flexible. What you can do if your property appraisal increasedLike every year, you can protest your appraisal online using iSettle or iFile.