FA chief executive Mark Bullingham recognises the decision not to light the Wembley arch caused “hurt” in the Jewish community.
Bullingham explained the FA were keen to “show compassion” towards all innocent victims in Israel and Gaza.
He explained how England will now review their policy on how tragedies are acknowledged following the controversy around the recent international break.
Speaking at Leaders Week at Twickenham Stadium, the FA CEO said: “I recognise that our decision caused hurt in the Jewish community who felt that we should have lit the arch and should have shown stronger support for them.
"This is one of the hardest decisions we have had to make and the last thing we ever wanted to do in this situation was to add to the hurt. We aren't asking for everyone to agree with our decision but to understand how we reached it.
"It would be easy for football to ask why we were the only sport being talked about in this way, particularly when rugby and cricket are both in their World Cups.
"But also it would be easy to ask why Wembley seemed to be the only building in the country being discussed when we have so many landmarks across our nations.
"However we understand that the power of football means we will always be in the spotlight and that's just something we have to accept.
"Finally, this week has made us question whether we should light the arch and when and we will be reviewing that in the coming weeks.
"So again from our point of view we think it's important football stands for peace, for humanity and compassion and hopefully that's what we carry on representing.”
He further explained how the FA came to the decision alongside the Australian FA.
"We first saw the acts of terror unfold on Saturday 7 along with the rest of the country," he said. "We immediately wrote to the Israeli FA to communicate our horror at what had taken place.
"We knew the situation could move very quickly and likely escalate so we wanted to take expert guidance. We also spoke with our Australian colleagues and other stakeholders in the game to understand the views of players clubs and also the leagues as well.
"It's worth noting Australia had upcoming games against Palestine and Lebanon so their desire for neutrality was obviously strong.
We were the only football body in Europe to have a minute's silence which was for all innocent victims.
"We then had a long board meeting on the Wednesday night and heard from experts on what is one of the most complicated geopolitical conflicts on earth. They then left the room and we had a debate on the issue as a board and working out what we should do.
"We all felt then and we all feel now that football should stand for peace and humanity and that we should show compassion for all innocent victims of this terrible conflict.
"Our compassion and sympathy is clearly for families and children in particular. That was a consistent view, across the board, the Premier League, the EFL, the National League and the Women's Super League, Women's Championship and also across the FSA who represent the fans in this.
"We then held a moment's silence and wore black armbands to recognise this, issuing a statement together with the Australian federation to explain our actions which many other sports then followed with identical wording.
"Our language was also very similar to that used by the United Nations. We were then the only football body in Europe to have a minute's silence which was for all innocent victims."