As Ben says, the usual translations are homeland, home country or fatherland. 'Fatherland' has echoes of the era Nazi Germany, so I'd avoid that term, if I were you. Sometimes you hear 'mother country' or 'motherland'. In the days of the British empire, for example, people in the colonies were told that Britain was their 'mother country', although the meaning there is slightly different.
In the context of Great Britain, you sometimes come across the phrase 'Queen and country' or 'King and country', depending on the era. This is a good translation because it has the same emotive quality, suggesting loyalty and duty, that 'patria' does.