Their aeroplane, heading from Paris to Lebanon's capital, diverted because of violence near the Beirut airport on Wednesday.
Air traffic controllers suggested a stop in Jordan. However, the aircraft was low on fuel and landed in Damascus, the capital of neighbouring Syria, where a civil war is raging.
An Air France spokesman explained on Friday that the crew inquired about passenger cash only as a "precautionary measure" because of the "very unusual circumstances".
Sanctions against Syria complicated payment for extra fuel.
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He said Air France found a way to pay for the fill-up without tapping customer pockets - and apologised for the inconvenience.
The plane landed safely in Beirut.

