Despite another major setback at London Stadium, Carroll is convinced the team will come together when it is needed most and show they have the quality to move away from the bottom three.
Carroll was pleased to be back out on the pitch again after making his first appearance since August following a knee injury and got his name on the scoresheet after Dimitri Payet's free-kick hit the bar and he reacted the quickest to knock the rebound home.
But the Hammers striker insists he was more focused on helping his team-mates put things right on the pitch and says everyone will unite as they look to move clear of the danger zone.
Carroll said: “We just need to keep working hard in training and there is a great bunch of lads in the team.
“Everyone has stood by the manager and he is a great manager. We are in this as a team together and all the lads are disappointed with the result and the way things are going.
“I am very confident that we are going to pull ourselves out of this.
“We have just got to stay positive and it shows what a good team Arsenal are and the work that we need to do. It has been a tough run for the lads over the last few weeks and we just need to pull out of it.
We are in this as a team together and all the lads are disappointed with the result and the way things are going.
“If you have a starting eleven and someone has to go off injured in the first five or ten minutes, it is a bit of a panic and that is what happened to the players.
“We went one goal behind and though we could have something from the game at that point but we conceded another goal and then kind of crumbled.
“It was good to get another goal and be back out on the pitch, but at the moment all the lads just need to focus on the next game and hopefully get a win.”