The two teams meet tomorrow night in a potentially decisive top four clash.
"I think Mikel has done very well," Rodgers said.
"There's a huge expectation but he's gone in and how he's dealt with it so far has been outstanding. He's made it very clear how he wants them to play, you can see the style.
"His courage to develop that, and they've played a couple of different systems, but the style has always remained the same. The team is very organised. They play how Arsenal supporters want them to play."