Go back in time a handful decades, when short fiction was still relevant.
No, but in all seriousness, I almost exclusively write short fiction as of now. I also think it's a very legitimate art form, as much so as the novel and tougher to write.
You may think, it's going to be easy. It's shorter, right? Nope. You have to do all the work in a much shorter space meaning you have to know what's important to keep and what details are bogging down your pacing. An ill-paced short story is going to be put down most likely.
The words have to count, there aren't any to spare.
I use duotrope.com to find markets after I've done some editing.
Also read short fiction. It's so vastly different in approach IMO from novels that you have to really have read a bit of it to grasp the intricacies.
Bradbury and Vonnegut are brilliant short story writers. Also if you're looking for those writing when short stories could get you a living, those who made the short a legend in a legendary era, try Hemingway and Fitzgerald, Anderson, among others.
There are so many, but also you should see if some of your favorite authors have written short stories. Likely at least one of them has some notable short publications.