Chances of American MBA grad getting hired in Switzerland?

Hi everyone. I'm a recent graduate of a target school in the US and I'm an American passport holder. I'm now completing my MBA at one of the main hospitality management schools in Switzerland. I'm trying to see if I can stay in Switzerland after I graduate.

I'm looking at PWM roles (biz dev, relationship management, maybe PM), no preference on firm size, Geneva or other French-speaking city (fluent French speaker + don't speak any German). Unfortunately no full-time work experience yet, just 1 internship at a small M&A firm and 1 internship at a medium sized investment firm both in the US.

Any chance of getting a Visa to make this happen? I've looked into the international young professional Visa thing but not sure how it works to apply while studying in Switzerland.... Any tips/recruitment advice would be much appreciated!!!!!