Zurich is an incredible hard plaster to get a flat. If you find an ad of a reasonable pricy flat you can be sure that you will cew up with many other people at the house visit.
In order to have any changes to get it you have to have good references, an immaculate CV and solid income. It's almost as hard as applying for a good job.
The national Swiss TV programme broadcasted a report of the harsh situation at the moment.
Go to TV programme "Rundschau by Swiss TV" and click on "Wohnungen bald unbezahlbar"
You can download the podcast report here:
A good way to increase the possibility to get the flat is to make an outstanding application. Write about yourself, write why the flat fits to you and why you want it at any cost. Good luck!