Savior of the Species - Wiz Chocobo Post
First Available: Chapter 7
Other Requirements: Complete Chase That Chocobo
Location: Wiz Chocobo Post
Rewards: 2,500 EXP
When you arrive at the Chocobo Egg you'll find a group of Sahagin enemies just about to devour it - good thing we arrived exactly at this moment in time and didn't diddle dally at all before coming here! After you defeat the Sahagins you'll want to pick up the Chocobo Egg and then take your vehicle back to Wiz's Chocobo Post.
Once you return the egg to Wiz your quest will be updated and the very last thing you have to do is wait for the egg to hatch. What advances the amount of time is completing Hunts and other Side Quests, not sleeping at an Inn or Camping. So, complete whatever other quests you have available or do some Hunts and return to Wiz's Chocobo Post after you get the call on your phone from Wiz about the Black Chocobo hatching.