There are some on Ebay, the link is below. Now I want one haha.

Here is a link that might be useful: throw

I've never heard of flokati throws altho what do I know. ;D

Flokati rugs come in several weights so perhaps the lightest weight would work for a throw. I've never seen them smaller than 3'x5' tho.

I bought a flokati when we lived in Europe in the 70's and it was a heavier weight one. One thing about flokatis is that they do have a bit of lint. Can't really say mine 'shed' a lot but when the kids used to lay on it there would be a few bits of lint on their clothes.

Synthetic flokatis (I also had 2 of those in our bedroom back in the 70's) are very much easier to care for. I washed mine in my washing machine whereas the genuine wool flokati had to be washed by hand either outdoors in a child's plastic swimming pool or in the bathtub. When wet it weighed more than I could lift.

IMO a synthetic flokati or a genuine washable lambskin would make the best throw for a chair. If you get a lambskin make sure it is guaranteed washable. Not all are, there's a different method of tanning to produce the washable type.

For any rugs I only deal with reputable rug companies and not online. I want to see and feel whatever I'm buying and greatly dislike returning things.