Do you know how residencies work in Switzerland, Germany and Austria? It's a diferent system.
You will probably find open psych spots because it's not that sought after.
The job market for residents is more competitive in Switzerland than Germany and Austria. Many german MDs move to Switzerland. I would recommend going to Germany instead. There are plenty of residency spots open in Germany at all times. I get bombarded by facebook posts of recruitment agencies looking for residents in every specialty.
This is for the german Cantons. I'm not sure how it works in the French/Italian cantons.
With the language, be mindful that the german spoken in Switzerland is basically a dialect that even Germans find hard to understand.