Republic of Ireland head coach Heimir Hallgrimsson said his players "raised awareness worldwide" after they chose not to engage in pre-match formalities with Israel.
The Republic of Ireland and Israel players did not shake hands before Sunday's Uefa Nations League game in Hungary and the Irish players bowed their heads when Israel's anthem was played.
There was also no exchange of pennants between Republic of Ireland captain Dara O'Shea and Israel skipper Manor Solomon, who did not shake hands.
The fixtures have been embroiled in controversy since February when the two teams were drawn to play each other in Group B3.
The Republic of Ireland players have faced calls to withdraw from the games because of the ongoing Israel-Gaza war with a "Stop The Game" campaign - organised by the pressure group Irish Sport for Palestine - gathering pace.
"It has been so difficult for so many players," Hallgrimsson told RTE after the game.
"I hope that will not be in the next game because they have shown support to the protest, they have raised awareness worldwide, not only in Ireland, on the subject and that is normally the reason for protesting, to raise awareness of a situation.
"I think these players have done that with all their actions, with all that they have been saying. No more than Gavin Bazunu, but the others have done it here on the pitch and how they have shown their actions so I hope people understand that."
The Republic of Ireland players voted to fulfil the fixture during a lengthy meeting at the team's hotel in Debrecen on Saturday.
Later on Saturday, goalkeeper Bazunu confirmed he had withdrawn from the squad, saying he felt it "would be wrong to participate" in Sunday's game and the return fixture in the Serbian town of Backa Topola on 4 October.
The Irish players wore black armbands, which Football Association of Ireland (FAI) chief executive David Courell said on Saturday was a gesture "in recognition of all lives lost in the [Gaza] conflict".
After scoring the Republic of Ireland's third goal in a 3-0 win, Jack Moylan removed his armband and kissed it before kissing his team's badge.
The Republic of Ireland players were jeered by the small number of Israel fans in attendance when they emerged for their pre-game warm-up.
While the FAI confirmed no tickets would be sold to Republic of Ireland supporters, a handful of fans were spotted inside the stadium.
During a dramatic day on Saturday, doubts emerged over whether the game would take place after the Republic of Ireland's pre-match news conference was postponed because of the squad meeting.
When the news conference commended at 14:30 BST on Saturday - more than five hours later than planned - Courell said a players' vote on whether to play the game passed by a "significant majority".
Courell added that the Republic of Ireland would not engage in pre-match formalities such as handshakes.
In 2024, the Ireland women's basketball team chose not to shake hands with Israel players or stand on court for the anthems before a EuroBasket qualifier in Riga, but the teams did exchange handshakes when they met again last year.
The Republic of Ireland have faced calls to boycott the matches since the Nations League draw in February.
Last November, the FAI approved a motion calling for Uefa to suspend Israel from Uefa competitions.
In May, the team's friendly against Qatar was interrupted after fans threw tennis balls featuring the Palestinian flag onto the pitch.
In June, the FAI confirmed their home fixture would be played behind closed doors in Backa Topola instead of Dublin's Aviva Stadium, citing "operational challenges that could impact on the delivery of the game on home soil".
At an extraordinary general meeting in July, delegates backed an FAI motion to proceed with the games amid concerns that boycotting the fixtures would cause "significant and lasting harm" for the association.
Calls for the Republic of Ireland to boycott the games have intensified in recent weeks. Earlier this week, more than 160 Irish athletes signed an open letter by Irish Sport for Palestine group urging the team not to play.
Courell also said last week Uefa had rejected a request for the Republic of Ireland and Israel to be kept apart in future competition draws.
Tensions between the teams were raised this week when the Israel Football Association accused Hallgrimsson of "ignorance, hypocrisy and stupidity" after the coach said, "we're not playing with genocide, we're playing against genocide".
Speaking on Saturday, Hallgrimsson said it was "a wrong word for me to use", while Israel FA head of communications Shlomi Barzel said he would not apologise for his association's response but said he would "take back the word stupidity".
The armed Palestinian group Hamas attacked Israel on 7 October 2023, killing about 1,200 people and taking 251 hostages.
In response, Israel launched a massive military offensive in Gaza, during which more than 73,000 people have been killed, according to the territory's Hamas-run health ministry, whose figures are considered reliable by the United Nations.
Israel has repeatedly denied that it has committed genocide, as well as war crimes and crimes against humanity. It says its military operations in Gaza have been conducted in self-defence and in accordance with international law.
