Mr Lesjak made the comment at the FVW Travel Talk tourism conference, whilst a number of demonstrators led by activist group Canarias tiene un límite stood outside the venue calling for immediate action to protect the islands from what they say is an unsustainable tourism model.
The commercial director of Condor Airlines, Christian Lesjak, has warned during a tourism conference in Tenerife that "if politicians are not careful, they will put the tourism in the Canary Islands at risk".
He also encouraged protesters to "put pressure on politicians, who must take responsibility" in order to place a limit on tourism on the islands.
Jet2's CEO Steve Heapy also recently said that the Canary Islands are playing a "dangerous game" when it comes to tourism policies.
The protest was organised to coincide with the conference, in order to highlight the growing local discontent with mass tourism and its impacts on the Canary Islands.