While "patter" is probably the correct word in general, if the artist is specifically introducing each song, I would suggest using the same word radio DJs use for that purpose: intro. If they are telling the audience about what they just heard, it would be an outro.

Patter can be used generally for any interstitial talk by an artist during a live performance. Patter also has a more specific meaning: the talk done to keep the audience from getting restless while the artist is preparing for the next song -- for example, while adjusting a capo on a guitar.

However, if the artist is specifically introducing each song, I would suggest using the same word radio DJs use for that purpose: intro. If they are telling the audience about what they just heard, it would be an outro.

Note that on recordings where spoken word has been spliced between tracks after the fact, the word "patter" should not be used as there is no audience to keep momentarily distracted. (Such segments are sometimes referred to as "interstitial material").