No, SSMS cannot run directly on VMware Fusion running on Apple Silicon Macs because:

• VMware Fusion for Apple Silicon supports only ARM-based virtual machines.

• SSMS is a Windows application built for x86/x64 architecture.

• There is no official Windows x86/x64 VM support on Apple Silicon via VMware Fusion.

• Windows ARM version exists but SSMS does not have a native ARM version, so it won’t run properly even on Windows ARM.