Chelsea were swept aside 3-0 on the night, leaving manager Liam Rosenior furious with their efforts.
But Chalobah stated afterwards: "We gave it our all. Just not the best side.
"We obviously had a gameplan. We tried to execute it.
"We tried our best. We worked on it throughout the week. Obviously we got beat today. We've just got to go again. We can't dwell on these moments, we've got to look forward to the next game."
On the away support feeling let down, Chalobah also said: "We can be accountable. As players we have to be accountable for the performance. We know how much the fans have been behind us and we know they are disappointed with the results, not winning at the moment. We just have to stick together and pull through."
He also insisted: "I thought personally that the boys were running their socks off. Everyone in the changing room is tired. It's nothing to do with effort. We gave it our all, we just got beat today.
"We ran today. You can say the stats this the stats that, but I can see the boys are tired, and we ran, so I don't know."