Having dominated the first half the Reds found themselves trailing to Yohan Cabaye's 43rd-minute strike.
But Suarez, who had been a threat throughout the opening period, sparked the Reds into life after the break and scored a brilliant equaliser after controlling a long ball from Jose Enrique with his shoulder before dribbling around goalkeeper Tim Krul.
"I thought he was unplayable. Coloccini getting sent off was frustration," said the Reds boss. "I don't think he could get near him (Suarez) today, and he's a good defender, Coloccini.
"He has been a great player over these last number of years for Newcastle.
"Suarez is so bright, so clever, he's a world-class striker. On that form today he really frustrates and provokes defenders.
"He has a hunger for the game, he has a hunger for goals."