The Brazilian’s energy, distribution and battling qualities in midfield earned him the man of the match award as Kenny Dalglish’s side severely examined City’s Premier League title credentials at Anfield.
The award raised eyebrows among some observers after City keeper Joe Hart had pulled off a string of top saves to deny the hosts a huge scalp, but Enrique is in no doubt his team-mate was the game’s outstanding performer.
"Joe Hart was good for them but Lucas was the best player on the pitch - he was amazing,” the Spaniard told the club’s official website.
"He is playing really well with Charlie [Adam], who is scoring some important goals for us this season.
"They are both really important for us. Stewart Downing came back into the side and also did well.
"City have some very good strikers but Pepe Reina made some very good saves. At times Pepe was like another centre-back for us!
"But it's not just down to the back four and the keeper, the whole team are playing really well."
The result means Liverpool have drawn four consecutive home league matches for the first time since 1971.
Enrique puts this undesirable run down to a string of superb performances from visiting goalkeepers to Anfield, and insists his side's display on Sunday warranted three points.
"I think we deserved to win the game," Enrique added. "In the first half maybe they played better but in the second half we played very well.
"We had some good chances but Joe Hart played brilliantly for them.
"I don't know what's happening with goalkeepers here this season. Against Swansea and Norwich it was the same.
"I think we have been really unlucky in many home games this season. It's a lot of points we have lost here but a draw at home to City is not bad.
"In the last two games we've played not just two of the best teams in England but in the world in City and Chelsea.
"We won at Chelsea and we deserved to beat City as well so that shows we can beat anyone.
"We have an amazing squad and we just have to try to keep improving."
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