Quardralift very noise while lowering to park.
Yep that sounds pretty normal to me. It does use a compressor to transfer the nitrogen in the closed system between the 4 corner bladders/shocks and the storage tank. Even after you shut off the engine the system will kick on to self level when parked so you will hear the compressor cycle and circulate through the system.
It's when you don't here the compressor kick in that you should start to worry.
2013 Grand Cherokee Trailhawk 5.7L V8, 2015 JKUR AEV
2013 Trailhawk 5.7L Hemi, 2015 JKU Rubicon AEV