Thanks everyone for your replies, this community seems nice and helpful
As someone pointed out, I needed to have the track selected as well as the freezed clip in order to nudge it. When I select a normal non-freezed clip, the track automatically gets selected. This seems not to be the case with a freezed clip.
I also noticed if I make copies of the freezed clip and place them later in the timeline, I can only nudge these one time and then the track gets deselected. So in order to nudge these clips more than once I have to select clip, select track, nudge.. select clip, select track, nudge.. and so on.
This isn't really a huge problem for me but I'm curious to why I have to take all these extra steps to nudge freezed tracks and, in this particular scenario, why they just can't behave like non-freezed clips?