Instead of a risky ZIP, download these packages (they are self-extracting EXEs, not ZIPs, but solve the same root causes):
Hitman: Absolution is not starting on Windows 10, the most common fix involves Hitman Absolution Not Starting Fix Zip Download Windows 10
Before we dive into the download links and technical fixes, it is important to understand why Hitman: Absolution struggles on Windows 10. It usually isn't a problem with your hardware. Modern graphics cards can run this game in their sleep. Instead of a risky ZIP, download these packages
If the game shows a black screen, flashes a logo, then closes, your save data is corrupted. Instead of a risky ZIP
: Right-click the game in your Steam Library > Properties > Uncheck "Enable the Steam Overlay while in-game" . The Language Trick : Go to the Language tab in Properties.