Yes, as a non-resident, you can indeed be tax compliant.
What you should do is (1) register as a non-resident landlord (2) appoint another person resident here (usually a relative friend or estate agent/letting agent) to act as 'collection agent'. Essentially this means that they are responsible for ensuring that you meet your tax obligations here. (3) file annual tax returns in this country in respect of this rental income and pay any tax arising.
Alternatively you can skip steps (1) & (2) by having your tenant deduct 20% tax at source and reclaiming excess tax from Revenue at year end, although this option can get messy and I do not recommend it.