As of patch 7.1 in FFXIV, whenever an MSQ is in your vicinity, the quest marker itself will show up on your minimap. Alternatively, you can always click on the quest itself in the top left corner ...

First, here’s the FFXIV patch 7.1 “Crossroads” trailer ... In addition to the new MSQ missions, we’ll be able to aid the Pelupelu with Allied Society Quests, perform Custom Deliveries ...