The short answer is yes, you can claim unemployment if you quit your job in Switzerland, thanks to the compulsory unemployment insurance that you've paid into. Those on an ‘L’ permit are eligible to draw unemployment benefits, if they worked in Switzerland for 12 months. This is because you need to have been engaged in full-time work paying into Switzerland’s national unemployment insurance program for a year - earning at least 500 francs a month - to be eligible.