Departures are available on select dates starting as soon as next week through the end of February. Southwest is also matching on many of the one-way routes so if you can't seem to find the exact dates you are looking for book two separate one-way tix and mix-n-match.
Searching on AA.com, I was able to see seats open for flights departing MSY on Wednesday, February 13 and returning from LAX on Monday, February 18, 2019. Other scattered dates are available throughout Feb.
We are seeing lots of great deals departing NOLA today, so make sure to have a peek at our New Orleans (MSY) departure page for a full rundown of deals.
Looking for a place to stay in LA? Here's what's available for the mentioned dates on Hotelwatchdog.