If you decide to immigrate to Curaҫao, and therefore reside on the island for an extended period, you will need a permit to do so, regardless of your nationality. If you are a Dutch or U.S.A. citizen, you will only need a “Verklaring van Rechtswege”, if you plan to reside in Curaҫao for more than 6 months, or as soon as you start working. If you decide to do an internship, start studying, start your own business, you are a person of independent means, or a “penshonado” (retired person), you will need at least one, and sometimes more than one, permit. Which permit(s) you need depends on your nationality and the nature of your stay on Curaҫao.
It is important to apply for the correct permit in the correct way, as there are many options and exceptions involved in the process, and much depends your personal situation. Are you coming here by yourself, with a partner, spouse, or children? All these things play a role in applying for the correct permits and submitting the correct documents.