Is this phrase correct? "Got it, thanks!" [closed]

Yes, it's grammatically correct in informal language. Strictly speaking, it's not grammatical (it should be I've got it in active or I got it in passive), but it's well established among native speakers and only prescriptivists might claim it shouldn't be used. As far as the rest of the world and linguistic usus is concerned, there's nothing wrong with this sentence in an informal setting.

It's fine to write it to your colleagues, but might not be fine to write it to your supervisor or boss, depends on the company and whether it's American English or European English (EuEn tends to be more formal).