The art nouveau church is located close to the train station, you'll see the steeple on the way into the city. It was built in 1902-1906 in pure Jugendstil architecture. Unfortunately the church has no regular opening hours - one would have to make an appointment with the parish office - but if you are interested in Jugendstil the exterior is already worth seeing.
For those of you who read German, the website of the Parish community has some information about the church here and also photos of the interior.
The parish was founded around 1900 when the city had grown a lot due to industrialization. Both parish and church were named after the reformator Martin Luther. He is depicted on the main portal (photo 3). In Zwickau the reformation was introduced very early, already around 1520/21. In 1522 Luther himself visited Zwickau, stayed with the mayor and held a sermon from the balcony of the town hall, as shown in the relief above the portal. The two statues show Paulus and Luther. The inscription quotes Luther's words in front of the Diet in Worms in 1521: "Hier stehe ich, ich kann nicht anders, Gott helfe mir, Amen." ("Here I stand. I can do no other. May God help me, Amen.")