Wherever it came from, it sure is a great song. I used to think it might have been based on the old Western Swing song, "Dance All Night, Stay A Little Longer". I heard someone play the music in more or less the usual way, but they put the english words to Dance All Night with it. I know that Cajun music was greatly influenced by Western Swing during the 1930's, when the accordion kind of declined in popularity for a while. Maybe that's when someone brought in Dance All Night at that time, and then it kind of evolved into Johnny Can't Dance after some years went by?

I have heard so many renditions and I can't keep them straight. What is everyone's favorite version?

The benchmark, in my estimation, is the YouTube recording of Ray Abshire and Courtney Granger in Stockholm, Sweden around 2009. Link #1.

Thanks everyone for the awesome information about Johnny.
If you read the story I posted earlier we all know that Johnny Broussard must have composed that song
Ned's suggestion with Ray Abshire is great but the one with Octa Clark in the kitchen(link#2) is also fantastic. Love them both.
Laughing and playing accordion like that when you're 91 years old must be great.
Ned's video at link#3.
If you want a direct link to something, you have to remove "https://" and only paste www.youtube.com/watch?v=uSDtJqLtvNs into the website link.

While we're at it, let's not forget Pay Day in the Army or The Eight of January. They all seem to be variants on the same song.

The Battle of New Orleans is a version of Soldier's Joy aka. Payday in the Army and who knows before that.

Cross culture tune sharing is one of the great things about music.