@Rigo - The error says you don't have PHP's ZIP Archive extension enabled for your current PHP version. What @laurentiu says is that maybe you're using multiple PHP versions and that extension is enabled on one of them.
Anyway, you need to make sure that that extension is enabled.
If you aren't sure about it, ask your hosting and have them enable it for you.
The zip archive extension is a common extension, i don't see why it'd be missing unless it's been specifically disabled.