Can I do this with an old sweatshirt?

I have an old sweatshirt that was always one of my favorites......but it has some holes.

But..........the decoration on the front is so beautiful. It's a dark blue sweatshirt, with a winter scene with goldfinches in some weeds. It's really a lovely scene. I would like to put just the image into a frame. How would I do that? Would I cut it out and then mount it with pins like I would a cross-stitch project, and then frame it once it was attached to something like a foam board?

Any suggestions?

Thanks!

Can I do this with an old sweatshirt?