Palace went behind after an impressive Lewis Wing strike and struggled to break down a resolute Boro defence as the game drew on. Despite a rather intense attacking onslaught, Hodgson's side ended the night as the losing team and must now return to south London to focus solely on their league campaign.
Hodgson said, "Of course it's a missed opportunity, if that [Middlesbrough playing Burton Albion in the next round] is the case then even more so. The fact is it was a tight game, we always knew it would be a tight game. We didn't think it would be a game with a lot of goals in it. We conceded one in the first half and that was rather unfortunate.
"[In] the previous two rounds, we'd done extremely well and won and tonight we missed an opportunity by not being able to win this game.
"We're chasing a 1-0 deficit and playing against a team that obviously defends in numbers and defends well in their own penalty area so it wasn't easy to get any clear-cut chances that maybe would have given us an equaliser."