In ShipStation, you can mark that you’ve printed a batch right after creating it, in the Label Batch window.
You can also do this on the Batches page. This is found under the Shipments tab by selecting the Batches section.
Here, you can manually mark multiple batches as printed by selecting the checkboxes for them and Mark as Printed.
You can also click on the blue batch number and this will re-open the label batch window where you can print, archive, and mark as printed.