How would you repair this coat?

[cosmopolitanplease]

DS has just worn his winter coat for the first time this year to walk the dog, came home and caught it on our postbox and ripped it. It's a polyester material so I'm pretty sure it can't be sewn.

Any advice? Thanks

Where is the tear? Somewhere you could cover it with a patch / badge?

It's near the top of the arm. I thought about a badge but I don't know how I'd fix it on as the material can't be ironed or sewn really?

Could you not iron it with a cloth over the top to protect the fabric?

Afaik it can be sewn with a fine needle, I'd sew that closed and then cover it with a sewn on patch.
If it frays easily do a row of backstitch 1/4" inside, around the tear, and take your repair stitches over that line.

< Scuse the crappy Paint job.