Yes it will work but you need high speed Internet connection of at least 1.5mbps for it to be worth watching. Any slower and your experience may not be enjoyable. Please note that if you are looking for Netflix it is only the US version available on it. For example Mexico has a different Netflix offering which has geographically popular movies etc. I know this unit does not offer that option. If you are okay with USA programming you should be okay.
I do love my Roku, but having never been in Ecuador area, I have no clue. If you can get Amazon or Netflix on your computer, it seems entirely possible that the Roku would work. I use it for streaming from Netflix and Amazon. Good luck.