I\'ve heard that .NET Core could run on Linux and Mac as well. I am currently using Mono on Raspberry PI. Is it possible or will it be possible to run .NET Core on Raspberry
Yes, .Net Core will run on Raspberry Pi 3.
You can find the procedure for installation from here in stackoverflow.
In more details you can find the below link also
http://reddyinfosoft.blogspot.com/2020/01/how-to-install-net-core-31-on-raspberry.html