Atletico have taken seven points from their last three games compared to just one in seven games during Gregorio Manzano's short reign.
Turan told the club's website: "We have a lot of quality and defensively we are playing better. We feel like a team and doing what the coach asks of us.
"I think we are improving and we have a strong team, but we are playing in a very difficult league.
"Playing away from home is difficult in Spain because every team plays well at their own ground."