England are through to the quarter-finals against Italy in Kiev on Sunday, but Milner has failed to impress during the competition, with many calling for Theo Walcott to take his place.
Milner: "The gaffer hasn't been in the job long and he plays a different style to the previous manager.
"He wants us tucked in, compact and tight and to be difficult to beat and it has worked so far.
"I think Ukraine were on top first half against us and we didn't get into our stride, but it showed the spirit and determination and the organisation of the team to restrict them to long shots.
"There is still more to come from the team. The manager only came in just before the tournament and we had injuries during the build-up.
"The lads have done a great job and, the longer we are together and with the manager, we will get better.
"We've seen Mario (Balotelli), he is a different player, he's going to cause you problems. He is very strong, shooting-wise he can cause problems, he is tricky, a clever player as well.
"He is a danger. There are two Marios. There is one who turns up sometimes in training and it is a bit cold and he is not too interested.
"The other time he really wants it, as I'm sure he will against England, and he is a special talent.
"He is a top player and we know that. I'm sure he will be at the top of his game."