to recognize the value or importance of
to be grateful for
Simply to be alive to watch the sun rise over the sparkling snowy hillside ought to have been the greatest treasure on earth, yet he could not appreciate it:
"Saw your dad though, Ron. He looks fine." Ron nodded his appreciation of this news.
With a nod and unpleasant smile to Harry, who was evidently expected to appreciate this treatment of Cattermole, Yaxley swept away toward another lift.
Harry could only assume that Sirius’s parents had been unable to remove the Permanent Sticking Charm that kept them on the wall because he was sure they would not have appreciated their eldest son’s taste in decoration.
"Well, you see, believers seek the Deathly Hallows," said Xenophilius, smacking his lips in apparent appreciation of the Gurdyroot infusion.
Ginny gave Harry a radiant smile: He had forgotten, he had never fully appreciated, how beautiful she was, but he had never been less pleased to see her.
Slowly, very slowly, he sat up, and as he did so he felt more alive and more aware of his own living body than ever before. Why had he never appreciated what a miracle he was, brain and nerve and bounding heart?
There are no more uses of "appreciate" identified with this meaning in the book.
Show samples from other sources
I appreciate the importance of this decision.
I don’t really appreciate expensive wine. It is wasted on me.