The Danes managed to secure their place at the World Cup in Russia thanks to a win over the Irish last year, in which Eriksen netted a hat-trick.
However, the Tottenham man has suffered an abdominal injury and will therefore be missing for the Nations League encounter on Saturday evening in Dublin.
Even though his star man will not be able to take to the field, Hareide thinks that his team will have enough quality to come out victorious in the clash.
"[Christian is] a good player, there's no doubt about that, he's an important player for us. But we haven't focused that much on him being away." the coach told reporters.
"It's important to focus on the players we have and on the team we have. We just have to try to fill that role, or play in a little bit different way without him.
"We have shown that we have a lot of good players in Denmark and the team is working for each other, know each other, so I don't think that missing Christian will be any kind of excuse after the game.
"If we win tomorrow, we are definitely looking to top the group, that's for sure - but we know the difficulties. Games against Wales and Ireland will be even matches and we are aware of that."