You can park in most designated parking spots within the operating zone. This includes P1 - P4 parking zones in downtown Reykjavík.
Note that rides can be paused in a No-park zone, same as outside of the operating zone. It is only forbidden to end the ride.
Red zones in the app are No-park zones. Rides can't be ended in these zones.
For example, parking by Landspítalinn (the National Hospital) is prohibited so a No-park zone has been added there.