England striker Carroll twice set up goals for Kevin Nolan before being sent off as 10-man West Ham beat Swansea 2-0 at Upton Park to ease their relegation worries on Saturday.
Carroll, making his third start of the season and long heralded as the Hammers' likely saviour by manager Sam Allardyce, was sent off 14 minutes into the second half by referee Howard Webb for an altercation with Chico, after appearing to brush the Spaniard with his elbow.
Chico took to Twitter on Wednesday evening to respond to those critical of his involvement in the incident.
He posted: "I'm a bit tired of the strong insults from the west Ham fans. Whoever doesn't see the aggression in that action is blind.
"They should be more preoccupied with the ugly way their team play football: always making very long passes and never quick short passing.
"They should be worried about that before caring about such evident things."
He added: "Ok West Ham 2 - 0 Swansea... Swansea 24 Points. West Ham 22 Points. Hahaha. Smart !! Good luck".
Chico also took time out to look ahead to this weekend's south Wales derby against Cardiff, which the Swans will head into under the guidance of new head coach Garry Monk following the departure of Michael Laudrup.
He wrote: "Saturday Swansea - Cardiff. Come on Swanseaaa !!! #JackB******s #Swans."