The short answer is yes you will have to pay tax in connection with these share options.
Even though you are not deemed as being tax resident in Ireland these share options would be seen as being payment in connection with an Irish employment. As a result, any gains/income associated with these shares will be liable to tax in Ireland.
You may also be liable to tax on these share options in your country of residence but you could qualify for some form of tax credit for the Irish tax paid.
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