Notice the careful weasel wording that shows Palworld is in no danger:
We will take appropriate action against those that infringe our property rights
We’re not claiming any rights have been infringed, but if they are…we’ll totally do something about it!
We have not granted any permission for Pokemon intellectual property or assets in that game
Of course you haven’t, because they aren’t using any and the guy who claimed they were turned out to be a complete fraud to admitted to doctoring images.
We intend to investigate and take appropriate measures
i.e. There’s nothing we’ve found that we can sue for, so we’ll keep trying to find something that we CAN sue for, and when we do, we’ll do something about it.
Many unscrupulous gaming publications then published articles claiming that this statement was proof of Nintendo suing Pocket Pair. No such thing is happening as of yet.