The players voted by a 14-9 majority to proceed with the game after a series of meetings on Saturday.
Republic of Ireland boss Heimir Hallgrimsson says the last few days have been the "toughest" of his career.
Ireland’s players wore black armbands during last night's 3-nil win against Israel, didn’t shake hands and bowed their heads during Israel’s national anthem.
There had been calls to boycott the game to protest the ongoing war in Gaza, and goalkeeper Gavin Bazunu opted out of the squad for the fixture.
The players voted by a 14-9 majority to proceed with the game after a series of meetings on Saturday.
Hallgrimsson has faced continuous questioning on whether next Sunday's second match with Israel will go ahead.
While the FAI's President Paul Cooke has defended their handling of the situation, saying he feels they dealt with it "quite well".
He added the there was "unprecedented coverage" of protests from the media, which Cooke feels lacked balance.
Naas Woman Makes Motorsport History
Shelbourne Stun League Champions Athlone Town In Women's FAI Cup
Monday Morning Sports Update
Trean Leads Home Twomey One-Two Nn Goffs Million At The Curragh
Ireland Get First Win In WXV As Parsons Makes History Against Japan
Munster Let Half-Time Lead Slip In URC Opener Defeat To Glasgow
Sunday Morning Sports Update
Leinster Beaten By Lions In Dramatic URC Opener In South Africa
