The second season has Kaori directing the series and that Bibury Animation Studio has taken over the production for it.
The folks at Crunchyroll continue to handle the TV series and they’ve now updated on some new availability for it.
The winter 2019 anime series Quintissential Quintuplets revealed back in May 2019 that a second season was coming and that arrived with January 7th, 2021 debut for it on TBS.