what is an orangry
â¢ ORANGERY (noun). The noun ORANGERY has 1 sense: 1. a place where oranges are grown; a plantation of orange trees in warm climes or a greenhouse in cooler areas. Familiarity information: ORANGERY used as a noun is very rare.ypernyms (orangery is a kind of...): glasshouse; greenhouse; nursery (a building with glass walls and roof; for the cultivation and exhibition of plants under controlled conditions). plantation (an estate where cash crops are grown on a large scale (especially in tropical areas)).