As Chris says, there are a good number of zydeco songs with minor chords in them.
One example that comes to mind is the Beau Joque song "Richard's Club". When played on a Bb accordion, it is in the key of D minor. (Keith Frank more or less copied the song and called it "On The Rise" - same song, different lyrics).
Another example is Keith Frank's rendition of "There Goes My Baby", which is an old rock song. It has the classic chord progression of 1-6-4-5. I have heard that progression described is "pop corn changes" or "ice cream changes". I never heard an explanation of those descriptions, but it goes back to the '50s, which is a bit before my time.
There are some beautiful basse bas songs which have minor chords in them. A basse bas could be described as a bluesy waltz. "Bon Soir Moreau" and "Les Barres de la Prison" are great examples of basse bas songs. I think of these as Creole songs, rather than Zydeco or Cajun.
Thanks Dave, I'm going with a yes. Yes the accordion plays minors. The song pieces (of my heart ) 1645 by Keith frank the 6 is a minor. We call that progression, cherry pie.
My rule is now, when a 2 or a 6 is played assume it is a minor .
I pulled the two songs (on the rise) one I hear 1 and quick 5 , the other almost the same ,one chord and quick same minor. Thank you I'm gunna try the quick same minor in those one chord zydeco songs now on.