A refrigerator does not need to make an audible running sound continuously. Judge its condition from the controls and suitable temperature checks, not sound alone.
What the observation tells you
Some models regulate their operation quietly, and normal cycles can include pauses. Conversely, a light can remain on even when cooling is unavailable. Neither silence nor illumination is a complete test. Avoid repeated power cycling just to hear a motor start.
A useful next step
Check the correct setting and read the manual's normal-operation guidance. If temperatures are unsuitable or an alarm appears, protect the food and report those observations together with the silence.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.