A power semiconductor module arrangement comprises a substrate comprising a dielectric insulation layer, a first metallization layer arranged on a first side of the dielectric insulation layer, and a second metallization layer arranged on a second side of the dielectric insulation layer, wherein the dielectric insulation layer is disposed between the first and the second metallization layer. The arrangement further comprises at least one first connection element mounted on the substrate, a housing comprising sidewalls, and at least one second connection element. Each second connection element comprises a first part extending vertically through a sidewall of the housing, a second part coupled to a first end of the first part and protruding from the sidewall in a vertical direction, and a third part coupled to a second end of the first part opposite the first end. Each third part is detachably coupled to one of the at least one first connection element.