Bad Grönenbach is a market town in the district of Unterallgäu in Bavaria, Germany. It belongs to the region of Upper Swabia and the headquarters of the Gemeindeverband of the same name. Bad Grönenbach is located on the county road MN 15, which runs north of Memmingen on Woringen and Zell by Bad Grönenbach to Wolfertschwenden in an easterly direā¦Bad Grönenbach is a market town in the district of Unterallgäu in Bavaria, Germany. It belongs to the region of Upper Swabia and the headquarters of the Gemeindeverband of the same name. Bad Grönenbach is located on the county road MN 15, which runs north of Memmingen on Woringen and Zell by Bad Grönenbach to Wolfertschwenden in an easterly direction. In the center of Bad Grönenbach begins the county road MN 24, which leads from Bad Grönenbach to the border of the district Oberallgäu in the south. From the west, the county road MN 21 leads from Legau over the hamlet Au and Rothenstein to Bad Groenenbach and flows there into the county road 24.