Windows Server 2003 is based on the Windows NT 5.2 kernel. Modern Chrome (versions 56+) relies on Windows API calls that simply do not exist in NT 5.2, such as advanced DirectWrite font rendering, modern cryptographic primitives (BCrypt), and memory management functions only found in Windows Vista (NT 6.0) and later. The installer will typically throw an error: "This program requires Windows 7 or later."
If you must use Chrome on this specific architecture, follow these steps: How could i get an older version of Google Chrome? google chrome for windows server 2003 64 bit
Q: Will Google Chrome work on Windows Server 2003 64 bit? A: It may work, but with potential compatibility issues and security risks. Windows Server 2003 is based on the Windows NT 5