The £65million Brazil goalkeeper played the full 90 minutes with no mishaps, as James Milner, Georginio Wijnaldum, Mohamed Salah, Daniel Sturridge and Alberto Moreno were all on target for Jurgen Klopp's side.
Following the 5-0 win over Napoli in Dublin, the German joked that he didn't want to ruin deadline day for fans by not trying to sign anyone else.
"Joel, we'll have to see", Klopp said, according to the Liverpool Echo.
"I can not kill your D-day (Sky Sports Deadline Day) show, people sit there in front of the television all day waiting", he added.
"He played in Brazil and Portugal, then was initially kept out of the Roma team by Wojciech Szczesny, who found English football hard at Arsenal, so he's not coming with 300-400 games at the highest level under his belt and, despite the fee, there has to be a question mark against him".
After Sunday's clash with fellow big spenders West Ham, Klopp's side then face Crystal Palace in London on August 20 and Brighton at Anfield five days later.More news: McGregor Posts Chilling Tweet After His Return To UFC Is Confirmed
Fekir, meanwhile, is back in training with Lyon following his appearances for France at the World Cup this summer and the midfielder has indicated that he would still be prepared to leave the club before the transfer window closes.
But any hopes of Liverpool making a last-minute bid have been dashed as L'Equipe add that they are unwilling to renew their interest in the France worldwide.
Before the World Cup, it looked certain that Fekir would join Liverpool, in fact, he even recorded an interview with LFCTV and he had pictures taken where he was wearing the Liverpool shirt.