I have a Non-EU B permit, but on my residence card which written "selbst erwerbstätigkeit ist bewilligungspflichtig", I uderstand that will need addtional approval if I want to start my personal business.

So my question is:
* When I am working here, is it possible to do my own business in meantime?
* If yes, should I apply for the additional permit for the self-employee?

If anyone have the similar experience, please advise me, thanks.

Is the permit an open one or closed. Closed means it's tied to your employer.

It's open, no tied with employer.

Then yes, you just need to meet whatever the criteria is for being self-employed as well. Talk to your cantonal migration and taxtion offices on how best to proceed.

Got it, thanks a lot.