The Hammers left Anfield with a stunning 3-0 victory this weekend, and Lanzini opened the scoring before goals from Mark Noble and Diafra Sakho.
Argentine playmaker Lanzini is currently on a season-long loan deal at Upton Park, having arrived from UAE side Al Jazira earlier this summer.
A talented midfielder who came up through the ranks at River Plate, Lanzini had been restricted to just 14 minutes of Premier League action before starting against Liverpool.
His impact was huge as not only did he score the first goal, but he also robbed Dejan Lovren to set up Noble's goal for the Hammers.
Supporters were full of praise for Lanzini after his superb display, and pundit Crooks has told BBC Sport of how impressed he was with Lanzini's performance against Liverpool, suggesting that he gave Reds boss Brendan Rodgers an uncomfortable afternoon.
"I'm not sure just how much Dejan Lovren and his Liverpool team-mates knew about Manuel Lanzini before the fixture against West Ham. Based on the evidence of the match, I suspect it wasn't very much," said Crooks.
"The way Lanzini skipped around Lovren to assist in West Ham's second goal was embarrassing for the Liverpool centre-back. The Argentinian terrorised Liverpool throughout West Ham's impressive victory, giving Reds' boss Brendan Rodgers a very uncomfortable afternoon," he added.
With a number of injuries in the final third right now, Hammers boss Slaven Bilic should now be looking to give Lanzini an extended run in the side.
His performance on Saturday certainly proved that he deserves more starts in the coming weeks, and if he can continue his form from the Liverpool game, West Ham may have a star on their hands.