Liverpool got the better of Manchester City 4-1 away from home at the Etihad Stadium in the Premier League, with defender Skrtel and attacking midfielder Coutinho both playing key roles.
“Defenders are often thrown into two categories,” former Tottenham forward Crooks wrote on BBC Sport about 30-year-old Slovakia international centre-back Skrtel. “Those that have good games, and those that don't.
“Well, Manchester City's home match with Liverpool threw together some of the best defenders in the league. Some were outstanding and some were awful.
“Martin Skrtel was in the first category and looked back to his commanding best in the absence of Mamadou Sakho.”
About Coutinho’s display against City, Crooks wrote: “The little Brazilian was magic. He taunted and provoked the former champions and at times made them look like inferior.”
Crooks has also suggested that Liverpool could challenge for the Premier League title this season.
“If Leicester are top of the table right now, who is to say that in this form, Coutinho and manager Klopp couldn't lead Liverpool to the title, because I certainly didn't see this result coming,” the Englishman wrote.
Against City, Skrtel took one shot, had a pass accuracy of 48%, created one chance, and made five interceptions and 10 clearances.
Brazil international attacking midfielder Coutinho took three shots, had a pass accuracy of 71%, created three chances, attempted two dribbles, and made one interception.
Liverpool are ninth in the Premier League table at the moment with 20 points from 13 matches.
The Reds are six points behind fourth-place Arsenal and eight points behind leaders Leicester CIty.