Fulton County Jail 901 Rice Street, NW Atlanta, GA 30318. You would fill out a criminal arrest warrant application form.It is available on the website under the Criminal Forms section. Individual applications must be completed for each person. Georgia law §17-6-15 provides the Sheriff the authority to establish, publish, and regulate the guidelines and rules for bonding arrested individuals. Does anyone know how long the release process typically is at Fulton county jail? Find arrest records in Fulton County. Learn more about how to lookup and obtain Fulton County arrest records, outstanding warrants and booking information. Fulton county bookings are also helpful when looking for information on whether or not someone has been arrested. Former President Donald Trump is expected to voluntarily surrender for arrest at the Fulton County Jail on Thursday night.