There are many opportunities to teach English abroad. Some positions only require that you are a native English speaker. Most position require that you have your Bachelor’s degree, however, it doesn’t need to be in English or in Education.
Some positions will request a teaching certification, especially if you are applying for a K-12 international school. Others may require you have either a certification in TEFL or a Master’s in TEFL/TESOL (Teaching English to Speakers of Other Languages).
The following links are good resources on teaching English abroad: