AAA+ ATPases are ubiquitous hexameric unfoldases acting in cellular protein quality control. In complex with proteases, they form protein degradation machinery (the proteasome) in both archaea and eukaryotes. Here, we use solution-state NMR spectroscopy to determine the symmetry properties of the archaeal PAN AAA+ unfoldase and gain insights into its functional mechanism. PAN consists of three folded domains: the coiled-coil (CC), OB and ATPase domains. We find that full-length PAN assembles into a hexamer with C$_2$ symmetry, and that this symmetry extends over the CC, OB and ATPase domains. The NMR data, collected in the absence of substrate, are incompatible with the spiral staircase structure observed in electron-microscopy studies of archaeal PAN in the presence of substrate and in electron-microscopy studies of eukaryotic unfoldases both in the presence and in the absence of substrate. Based on the C$_2$ symmetry revealed by NMR spectroscopy in solution, we propose that archaeal ATPases are flexible enzymes, which can adopt distinct conformations in different conditions. This study reaffirms the importance of studying dynamic systems in solution.