Upvote:3
Yes, you must apply for an Irish residence card (Article 10) to replace your Italian residence card if your spouse intends to stay longer than 3 months.
EU Treaty Rights - Immigration Service Delivery (Ireland)
Freedom of movement
You cannot use a βresidence card of a family member of a union citizenβ that has been issued by another member state to authorise your long-term stay in Ireland. Your residence card must be issued by the Irish authorities.