Step 1: Connect the eponym to its specimen. Creola bodies are seen on sputum cytology, so the question is really asking which airway disease produces a tell tale shedding of surface cells into the sputum.
Step 2: Asthma features intense eosinophilic inflammation that injures and detaches strips of ciliated columnar epithelium. These detached clumps are the Creola bodies, and they sit alongside Curschmann spirals, Charcot-Leyden crystals and eosinophils in the classic asthmatic sputum picture.
Step 3: Chronic bronchitis, emphysema and bronchiectasis have their own sputum profiles but none of them is defined by Creola bodies. The finding therefore signals bronchial asthma.
\[\boxed{\text{Creola bodies indicate bronchial asthma}}\]