Hi Benjamin! It’s totally possible to do 
Project managers/owners and proofreaders are able to approve translations in the Editor. And it is possible to do a mass approval for all the translations at once (only per one language at a time, though). Please, check the video below on how to achieve it (open the Side-by-Side (Proofreading) view of the Editor and select all the strings): How to batch approve translations - YouTube
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