The Bavarian Surveying Administration plans to replace the previous GK system (Gauss-Krüger) and introduce the European Terrestrial Reference System 1989 (ETRS89) with the Universal Transverse Mercator Projection (UTM).

How can I transform a network from DHDN GK4 to ETRS89 UTM32N?

Make sure that the network meets the following coordinate system and that this is also set:
Network -> Network settings -> (Scale ->) Coordinate system ->

Projected Coordinate Systems -> National Grids -> DHDN 3 Degree Gauss Zone 4_TOWGS.prj

Transform to:
Geographic Coordinate Systems -> World -> WGS 1984.prj

Then transform to the corresponding UTM zone:
Projected Coordinate Systems -> Utm -> Other GCS -> ETRS 1989 UTM Zone 32N.prj