Louisville Mayor Craig Greenberg is being asked to honor her wishes by appointing her son to finish her term.
Holsclaw, who was first elected as county clerk in 1998, last won reelection in November 2022.
Jefferson County Clerk Bobbie Holsclaw said the new technology should reduce wait times with fewer people having to come into the office.
Jefferson County's top election official said Wednesday there was "no way" to prevent the Election Day technical issues that caused voters at some precincts to wait in line for hours.
The hackers installed malicious software, locking files and demanding money that locked up all systems at branches across Jefferson County.
Despite recently getting a new registration sticker, Debra Humphrey said the trouble started when she tried switching the plate to her new car.
Early voting, from Oct. 13 to Nov. 2, will be available at the Kentucky Exposition Center, Kentucky Center for African American Heritage, KFC Yum! Center and the Louisville Marriott East.