I do not have a link to a scientific research to prove this, but as a crew member, in the airline crews community, Melatonin is one of the most used remedies to overcome jetlagging problem we face every week as a part of our job as we need to fix the jetlag problem after every flight to be able to operate the next assignment which might be less than a day from the current one to a totally different side of the world in a totally different timezone.

Compared to other sleep aid remedies, Melatonin does not cause that headache/laziness after waking up. I actually know some crew members who take it an hour or two before their assigned crew rest during long flights. They wake up 2-4 hours later and continue their duties with no problems.

Of course this does not mean some people wouldn't react differently, I personally dislike it for no medical reason even though I have tried it a few times and it did work ok. I guess I dislike it because in my job I face this problem a lot and I do not want to get used to it so later when I do not have I will not be able to fix the jetlag. I do not think this applies to you.

Melatonin and FAA

Furthermore, FAA has approved Melatonin for pilots without wait time after use, unlike Tylenol PM and other Over-the-counter sleeping pills.

It's approved for people without sleeping disorders, which basically means it's approved for temporary cases like jetlags. FAA does not approve any medicine with no restrictions or ground times unless it's really safe for people who operate heavy machines, such as pilots.