"Ryanair is disappointed by this strike notice which is unnecessary, given that it has already forwarded to Fórsa draft proposals on recognition, base transfers, a seniority list for all Irish pilots and a new annual leave system based on seniority", the airline claimed.
However, the pilots' union has warned the industrial action could also have a knock on effect on Ryanair flights in other destinations.
Ryanair didn't immediately respond to a request for comment.
The cabin crew also demanded pay rises and the abolition of agency work.
Pilots will begin their strike next week for a period of 24 hours, commencing at 1am on Thursday, July 12.
It said the pilots backed industrial action over management's approach to transferring pilots between its European and African bases.
The union said the Dublin-based airline isn't taking its demands seriously regarding issues over seniority and how annual leave is dealt with.
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It said this had been done through ship-to-ship transfers at sea using 89 North Korean tankers. About 7,700 US troops are still listed as missing from the Korean War.
It has sent a letter to the union with an invitation to meet on 11 July to try to avoid the strike action.
Speaking after a summit in Dublin, representatives of cabin and ground crew from across Europe said there had been little progress since O'Leary reversed a long-held policy of refusing to recognise trade unions more than six months ago.
In the meantime, though, there is one silver lining to the cloud which hangs over Ryanair flights this summer: ticket sales have been affected by the uncertainty surrounding the possible strike, and in response the airline has slashed prices on many flights by 20 per cent.
This compared with just 41 cancellations in June previous year.
It said more than 210,000 passengers were impacted by the cancellations.
The airline has now grown so large that it was recently officially recognised as Europe's largest airline in terms of passenger numbers - carrying 1.5 times as many passengers as arch-rival easyJet and double the number of passengers as Lufthansa.
Ryanair has around 100 directly employed pilots in Ireland with another 200 on personal services contracts.