The Spanish outfit struggled in the early part of the campaign, but are now unbeaten in their last four matches in La Liga.
"The commitment, hard work and unity shown have been key for us and the dressing room has always been united," he told reporters at a press conference.
"We have worked every day to improve and we must carry on doing that. The players are the first people to want everything to go well but we didn't get off to a good start.
"The team's position was not what we wanted so we met and talked things over. We'll be trying hard to continue the positive momentum."
Barragan joined Valencia from Real Valladolid in 2011.