Yes, a foreigner can work for themselves in Singapore if they register their company with the Accounting and Corporate Regulatory Authority (ACRA). Certain regulations and work visa requirements apply.
You’ll need a valid work visa, such as the Employment Pass or EntrePass, which are designed for foreign entrepreneurs who want to start and run a business in Singapore. This is subject to various requirements, such as hiring a minimum of one Singapore resident as a director or having a minimum amount of funding for your company.