Welcome to the forum, Mark.
It won't be easy. As a non-EU national you'll have to find a Swiss employer willing to go do the time and expense of applying for a permit for you. They also have to prove they can't find a Swiss/EU national who could do the job.
https://www.sem.admin.ch/sem/en/home...zulassung.html
You need to have a university degree as well as several years' experience.
Unless you can find an employer, it won't happen. Are there any internal company transfers with Fujitsu here that you could try for?
Only other ways are if you're married to a Swiss/EU national or in a registered same-sex partnership with one.