But Mr Hague told The Sun: "This is a community that is nearly 200 years old. They seem very determined to remain British.
"If there's any chance they would change their minds, the approach by Argentina is completely counterproductive.
"It only fortifies the islanders' determination to stay British. It is only going to add to the decades and centuries that the Falklands will remain British."
The islanders will vote in a referendum next month which is expected to underline their determination to remain a British overseas territory.
Mr Hague said the current Argentine government, led by president Cristina Fernandez de Kirchner had turned away from a process of diplomatic dialogue "into a pattern of bullying and intimidatory behaviour towards the Falkland Islands".