Cameron told MPs at Prime Minister's Questions in the House of Commons: 'This is not an issue of left or right or Labour or Conservative.
'We all wear the poppy with pride, even if we don't approve of the wars people were fighting in ... to honour the fact that these people sacrificed their lives for us.
'It's absolutely vital for FIFA to understand that and I think a clear message going out of this House and from this Government can make them think again.'
The Royal British Legion has backed the FA's stance despite the loss of presence on the players' shirts for the game.
Director General Chris Simpkins said: 'There are other ways to honour the poppy than by wearing it on a shirt.
'The FA has helped us explore every alternative available and we are satisfied that England will enter the competition knowing they have shown proper respect for our Armed Forces.
'The Legion never insists that the poppy be worn or insists that others allow it to be worn. We are grateful when people wear it as a sign of respect, but the decision must be a free one - after all, the poppy represents sacrifices made in the cause of our freedoms.
'The bonds between the Armed Forces and professional football are as broad as they are long. The co-operation we've received from the FA and the FAW has been top drawer and we'll be happy for this match to proceed.'
England Under 21 manager Stuart Pearce spoke on the issue ahead of his side's 2013 European Championship qualifier against Iceland on Thursday.
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Rank | Team | W/D/L | Pts |
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Cities & Stadiums
The Top 3 Teams of Previous Tournaments
Year | Winners | Runner-up | Third place |
---|---|---|---|
2008 | Spain | Germany | Russia / Turkey |
2004 | Greece | Portugal | Netherlands / Czech Republic |
2000 | France | Italy | Netherlands / Portugal |
1996 | Germany | Czech Republic | France / England |
1992 | Denmark | Germany | Netherlands / Sweden |
1988 | Netherlands | Soviet Union | Italy / West Germany |
1984 | France | Spain | Denmark / Portugal |
1980 | West Germany | Belgium | Czechoslovakia |
1976 | Czechoslovakia | West Germany | Netherlands |
1972 | West Germany | Soviet Union | Belgium |
1968 | Italy | Yugoslavia | England |
1964 | Spain | Soviet Union | Hungary |
1960 | Soviet Union | Yugoslavia | Czechoslovakia |