Is it possible to install SQL Server on Windows 11 running on Parallels on Mac M2 chip?

You can use SQL Server Express 2014 Download SQL Express 2014 here
Download the SQL Server Express 2014 and the MGMT Studio (SSIS/SSMS) tools
download the 32 bit (x86) and use the defaults for installation process with one exception

** USE MIXED MODE and enter an SA password **

Installation complete!

When you run the second file (SQL ServerManagementStudio_x86_ENU.exe) it will open the same option list . select the first option and Select modify/upgrade the SQL Express instance that you just added. Add all the DB Management tools in the next screen. Both pieces of the install will take some time, so don’t give up on it even if it seems to be hung.

Here are the tools to be added.

When you open SQL Server Management Studio, you may get this… I’m not sure what to do with this, but if you have suggestions, please add in comments.

Notice on opening SSMS It did not prevent me from being able to login and create a database.