Hello fellow Tibian, let me see if I can help clear your cloudy mind on this subject.
TLDR: When raid message pops up you have 15 minutes until they spawn in Muggy Plains, use Music Box for 100% tame chance, use speed items to run between their various spawn points, remember that you probably aren't the only one looking for the draptor so you have to be fast!
The draptors spawn during the invansion (Raid) on Muggy Plains. There are about 5-6 known spawn locations of the draptors according to the Tibia.wikia page addressing the monster. When I tamed my first draptor I used a full speed set and time rings, plus any other speed boosting thing I could find and just ran between the 5-6 locations. Keep in mind that after you see the first message of the raid beginning the draptors will not spawn until approximately 15 minutes after that message.
When you see "The dragons of the Dragonblaze Mountains have descended to Zao to protect the lizardkin!" make sure to be in Muggy Plains 15 minutes after that message. There will be three waves at 15 minutes after raid message another at 20 and another at 25 minutes. Most importantly never give up hope, if you don't get it on the next raid remember that there will always be another raid!
https://tibia.fandom.com/wiki/Zao_Raids#Dragons_raid_on_Muggy_Plains
Best of luck,
Quacko