Does any Landlord here experience with the Tenant appeal case TX?

[Yenlan Patton]

UPDATE ; We won eviction case against the tenant, and the judge give 5 days to appeal or move out. The tenant talked to my agent service if we can give him until the end the month of April. Should we give him till the end the month or don't?. My agent suggested not to play hard ball just in case if he appeal, it will be no good situation for us that the court will be give another 30 days hearing process and we have to spend money to hire an attorney for higher court. Would like to hear from anyone who familiar with texas tenant law. Thank you in advance.