Literal translation:
* Don't close your door to...
More natural English translations:
* Don't shut the door on... (This is the most common and natural translation)
* Don't turn your back on...
* Don't reject...
* Don't close yourself off to...
Example sentences:
* Ne ferme pas ta porte à l'amour. (Don't shut the door on love.)
* Ne ferme pas ta porte à de nouvelles opportunités. (Don't turn your back on new opportunities.)
* Ne ferme pas ta porte à l'aide. (Don't reject help.)
* Ne ferme pas ta porte à la possibilité de changer. (Don't close yourself off to the possibility of change.)
The best translation will depend on the specific context and the intended meaning.