Moving to Switzerland might sound great but will not be easy. This site will give you an idea of what is needed: https://www.thelocal.ch/20150922/the-four-big-challenges-of-moving-to-switzerland-relocation-expatproject-tlccu
Chirosuisse says that MEBEKO is in charge of licensing but MEBEKO get's it's advice from Chirosuisse. Basically one needs to have 60 Credits from a Swiss university (human or chiropractic medicine, veterinarian medicine or pharmacy) and a degree from a school recognised by the ministry of internal affairs (BAG) to sit for the Federal Exam. The passing of the Federal Exam is the requirement to be able to work as an employed chiropractor. It is expected that one then complete a two year assistantship with concurrent postgraduat studies from the Swiss Academy of Chiropractic to then take the exam to become a "Fachchiropraktor" to be able to work independently. The MEBEKO can make exeptions to the above mentioned on a case by case base, but unfortunatelly only very few have been granted exeptions thus far. NOTE: there is a wide misconception that a DC may work under the HP of another DC. There is no legal framework for this. if you do, you cannot be covered by any insurance should anything happen, you absolutley cannot bill patients who have private health insurance (since this is a type of insurance fraud). This doesn't mean is has been done, and is still being done, but you have been warned, it is not legal. As soon as you touch a person with a technique that could be considered to cause harm, you MUST personally have the HP.
ADDITIONAL NOTES:
Switzerland has almost impossible standards for foreign chiropractors. It is worth talking to the MEBEKO to check with them if your diploma will be recognized or if you need to fulfill additional requirements. Speaking one of the national languages (German, French, Italian) is a must.