Milner, who scored City's fourth against Villa, is refusing to be daunted by the size of the tasks ahead.
"Every game we play we want to win," said the England international.
"They're big games but it won't change our philosophy. We'll go and try and win. We've had a slow start in the Champions League but hopefully we'll pick up and put in a performance that we know we can.
"It's a tough group, and obviously our first taste of Champions League football together, but we know we can improve on our Champions League performances so far. A win is vitally important and I'm sure we can get it."