Eriksen produced a superb man-of-the-match display to help Denmark come from behind to beat Ireland 5-1 in the second leg of their World Cup play-off on Tuesday.
The Tottenham midfielder secured a hat-trick to take his total for the qualification campaign to 11 goals and his coach believes he should be regarded as one of the best players in world football.
"It's difficult to rank, but we saw [in Tottenham's Champions League matches] against Real Madrid he is probably one of the best players in his position in Europe at the moment," Hareide said after Tuesday's victory.
"Ronaldo, Messi and some strikers are playing as forwards. Christian is more a wide man or a central midfield player. He has this capability of scoring goals, making assists, finding space, so, definitely top 10."
The 25-year-old returns to domestic football with Tottenham as they travel to Arsenal for Saturday's North London derby, and his nation's boss thinks Eriksen's current surroundings helped him to produce his match-winning performance on Tuesday.
"He's in a team now at Tottenham which wants to play football. They play football - we saw against Real Madrid that it suits him very well to play there," added Hareide.
"He has good players to play with, he has a good manager and I think he is enjoying his time at Tottenham at the moment."