Defeat at home to Manchester City on Wednesday night confirmed Burnley's relegation.
Dubravka told Burnley's website: “I’m disappointed. We wanted to stay in the league but unfortunately, we didn’t do it.
“The start of the season was a bit tricky I would say. Playing against top teams, we didn’t pick up the points, and you need the points to stay up.
“We were so close on a few occasions, but we didn’t deliver.
“In today’s performance there were some good bits as well but unfortunately it wasn’t enough.
“There was not much space, but they still created a lot of chances. Unfortunately for us Haaland was clinical in his chance. They have such a good team.
“We tried to give everything tonight; we’re disappointed with the relegation.”
He added, “We need to give everything; there’s still four games to play. We need to give something to the fans because they support us every week.
“We want to give back to them for the remaining games.”