England narrowly escaped a draw on Saturday when they played Iceland in the UEFA Nations League
Gary Southgate's side struggled in the Saturday opener which saw two players sent off and two penalties awarded.
Sterling scored a spot-kick before Gomez conceded a penalty in stoppage time but Iceland midfielder Birkir Bjarnason fired high and wide their golden chance to gift England all three points from the Group B encounter at Laugardalsvollur National Stadium in Reykjavik.
Speaking after the game, match-winner Sterling labelled the mistake for Gomez' penalty "sloppy", which rubbed some Liverpool fans up the wrong way.
"We didn't expect the red card," Sterling told Sky Sports.
"But it happened and we kept on playing out football. We kept trying to create chances and kept contact then we got the penalty in the end.
"We shouldn't have conceded that sloppy penalty in the end. But we got lucky in the end."
Responding to Sterling's comment, one Reds fan said: "He hates Joe Gomez still and was disrespectful towards him after the game."
Another added: "[Jurgen] Klopp actually needs to stop sending Liverpool players to that camp. Horrible place to be in."
And a third Liverpool supporter concluded: "If he's going to talk about Gomez, he should talk about [Kyle] Walker as well".
Sterling and Gomez haven't always seen eye to eye and even came to blows before a Euro 2020 qualifier back in 2019.
The duo clashed in the England canteen, and needed to be pulled apart by their team-mates. Sterling was subsequently dropped "as a result of a disturbance in a private team area".