The Fire TV Stick Basic Edition works in:
Albania, Barbados, Belgium, Bermuda, Bolivia, Bosnia and Herzegovina, Bulgaria, Cambodia, Chile, Colombia, Costa Rica, Croatia, Cyprus, Czech Republic, Denmark, Ecuador, Estonia, Finland, Ghana, Greece, Hong Kong, Hungary, Iceland, Ireland, Jamaica, Kenya, Latvia, Liechtenstein, Lithuania, Luxembourg, Macao, Malta, Namibia, Netherlands, New Zealand, Norway, Panama, Peru, Philippines, Poland, Portugal, Romania, Serbia, Singapore, Slovakia, Slovenia, South Africa, Sri Lanka, Sweden, Switzerland, Taiwan, Thailand, Trinidad & Tobago, Uruguay, Venezuela.
According to Amazon, in order to use your compatible device in a different supported country, you must simply change the country settings for your Amazon account. Amazon also notes that:
Watching Amazon Fire TV While Abroad
Amazon also advises its customers:
The Movies and TV Shows categories in the Fire TV menu change automatically to include Watch While Abroad rows. These rows show all titles included with Prime that are available to watch while traveling abroad without changing your account settings.
Amazon advises their customers who are EU residents that “while traveling within the European Union, have access to the same titles that are available when streaming from their country of residence.“