Agger was shown a straight red card by referee Phil Dowd for giving away a penalty after appearing to push Shane Long inside the box.
The Danish international was unhappy with the decision and insists he made no contact with Long.
Agger is in line to miss next weekend's clash with Manchester City as a result of his dismissal, but the defender claims television evidence will prove he was wrong to be sent off.
Asked whether he would contest the red card Agger said: "Of course. I've seen it again on television and there is no contact.
"Referees are only human. They make mistakes as well.
"I was unlucky to be involved in one of the mistakes. It's frustrating but that's part of the game."
Despite suffering their heaviest opening day defeat for 75 years at The Hawthorns, Agger is confident Liverpool will bounce back and that there is no need to panic.
"I know we will bounce back from this," added Agger. "I think we controlled the game before the sending-off," said Agger. "We had the momentum, we kept the ball well and we created chances. The red card changed the game.
"Everyone is frustrated. I don't think the result was right. It doesn't really make sense. But that's football and it happens.
"We have to continue. We showed a bit of the football we want to play. The manager said the same - that we controlled the game, created some chances and were a bit unlucky with some decisions.
"At Liverpool, the spotlight is always there. There is no reason to panic. I think the Premier League is getting better and better. There will always be tough games ahead."
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
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