Along with other airlines Cook has suspended its programme to Sharm el Sheikh following the suspected bombing of a Russian charter airline at the end of October.
Fankhauser said the impact from Egypt had been limited.
“So far [there has not been] a big impact because we have cancelled our holidays until December and we don’t know exactly when we are going to open again,” he told journalists on a conference call.
Fankhauser described the ongoing effects of a Foreign Office ban on travel to Tunisia as in the “low digits” and would not be drawn on whether the company’s operations in Turkey would be hit by uncertainty in the region.