Progressive Unionist MLA Mr Billy Hutchinson has called for talks to begin to end the dispute at Holy Cross Primary School in north Belfast.
Fr Aidan Troy, chairman of Holy Cross board of governors, has welcomed the call and said the nationalist community is ready for talks now.
The loyalist protest against Catholic parents taking their children to school has entered its third week.
"If Billy Hutchinson is calling for dialogue I certainly would welcome that because there is absolutely no substitute for it," said Fr Troy.
Talks are continuing behind the scenes as efforts were stepped up to end the dispute.
Last week the Stormont Executive appointed a community liaison officer to meet both sides and discuss their concerns.
Mr Derek Wheeler, a senior civil servant from the Office of First Minister and Deputy First Minister, has set up an office in a nearby community centre and met Loyalist residents on Thursday.
He is due to meet Catholic residents this week.
PA