It defines the word as 'cold, chilly' – presumably the narrator's intended sense – with citations from 1895. Its etymology is uncertain. Parky can also mean 'resembling or relating to parks' or 'having lots of parks', and is a variant of parkie 'park-keeper', but these are relatively run-of-the-mill usages.
Where does the word Parky as in cold originated from?
One reference calls parky "meteorological slang" for chilly or brisk. ("British English from A to Zed" by Norman Schur, FirstHarperPerennial edition, 1991). Another says it is, "A word of obscure origin dating from at least before World War II and still in use.
What does Parky mean in slang?
/ (ˈpɑːkɪ) / adjective parkier or parkiest. (usually postpositive) British informal (of the weather) chilly; cold.