Recognision of sports therapy outside UK

Hello,

I am currently studying sports therapy in the UK.

Previously I was a ski instructor and I would like to be involved in rehab of injured skiers when I graduate.

I would like to move back to Switzerland, or alternatively Austria, Canada and USA are also options.

Does anyone know if sports therapy is recognised in these countries, or who I can contact to find out? In the UK you can't work in the NHS with a sports therapy degree but you can work privately or for a sports team etc. I would rather not have to do a physio masters if I can avoid it, just to be able to work there.

Thanks for any advice :)