United are unbeaten in the two games Carrick has overseen since the club’s sacking of Ole Gunnar Solskjaer last weekend, following their midweek win over Villarreal with a draw at Chelsea on Sunday night.
Ralf Rangnick is set to take over the club on an interim basis until the end of the season and he has a solid foundation to build on following United’s recent improvement in form.
Carrick’s side showed great character to steal a point at Stamford Bridge and while De Gea wanted more from the game, he admits there is a marked improvement to be shown.
“We already improved against Villareal, we won, we qualified and now we have played against a very good team away,” he told Sky Sports. “The team’s effort has been very good. They had the best of luck. For me, that is not enough, a draw. We are in a difficult period. I am proud of the team’s effort.
“On the pitch, in goal, I felt danger most of the game. We defended well, they missed big chances and the one they gave us, we scored. It is not enough to draw a draw, but for the moment it is. a big point.
“The last games before conceding three or four goals. We are improving. It’s only been two games. At least now we are defending well. We fight for every ball. We are a team. “