Jally, that ring was sometimes achieved by having a metal folding chair next to the snare that rang when the snare was hit hard enough.

Some small snares have that ring to them if you get the head good and tight and tuned, but normally it isn't an effect you can add later.

If you want to try, 2-4k on EQ can help define it, but if it isn't there to begin with it's hard make it sound like it is.
If you have a Reverb with EQ built into it you can 'emulate' the ring, but still, it isn't going to be the same.
Again, cut lows and push 2k or so .. maybe a combination of EQ and Reverb

I do not work here, but the benefits are still awesome
Make your sound your own!