Wales had to play for 62 minutes with 14 men after captain Sam Warburton was sent off for a dangerous tackle on Vincent Clerc and they still looked the better team.
Lievremont maintained referee Alain Rolland was correct to brandish the red card - and he had no qualms about the fact Wales were the better team even with 14 men.
"They have been amazingly brave but the French team might have a good guardian angel," said Lievremont.
"You have seen the tackle, it was a very dangerous tackle and it deserves the red card but it was unfortunate that the game was unbalanced in the way it was."
France lost to New Zealand and Tonga in the pool stages but they bounced back to beat England last week and had to battle for the narrowest of wins today.
Lievremont will be replaced by Phillipe Saint Andre as France coach after the World Cup - and his final match in charge will be the final against either Australia or New Zealand.
"I think there are a lot of people annoyed that we have qualified but we played with our hearts," said Lievremont.
"We have qualified for the final and that is all that counts.
"We did not start well and we lost confidence. When they went down to 14 and we had 15, we were still inhibited. But that does not matter. What matters is when they scored (a try) we kept our composure.
"I will not brood or be unhappy because it was not our best game. What matters is we are going to the final."
Lievremont would prefer France face New Zealand, who they beat in the semi-finals of the 1999 World Cup and the quarter-finals in 2007.
"In our wildest dreams we always thought we would play the All Blacks," said Lievremont.
"I will always be an All Blacks supporter unless we play them."
Clerc admitted France will have to improve markedly if they are to mount a genuine challenge for the Webb Ellis trophy next week.
"In one way, yes (we are lucky) because we did not play that well," said Clerc.
"We did manage to deserve this victory by keeping our defence strong and showing a lot of strength and courage - but we had a bit of luck and fortune.
"(Next week) we have to keep the same spirit in defence but improve our passing rugby."
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