McCown will replace Cutler as the Bears' starting quarterback for the foreseeable future after the usual first-choice was ruled out for a minimum of four weeks with a groin injury.
The 34-year-old replacement admits that it would be tough to reach the standards set by Cutler, but believes that the Bear's system should allow him to slot straight into the team without much trouble.
"The emphasis has been put on individuals to do their job and do their part," McCown told reporters. "If we continue to get that, and we felt like we got that yesterday, it allows the quarterback to step in there, whether it's Jay or myself, to function and play, because guys are going to be coached to be where they are supposed to be and do what they're supposed to do.
"It's going to look different between Jay and I. Our skill sets are different. Every guy in America wishes he could throw the ball like Jay Cutler. He has big-play capabilities because of his arm and the things that he does and just as a leader, too. So the bar was set high by Jay."
McCown replaced Cutler during the Bears' 45-41 loss to the Washington Redskins on Sunday, completing 14 of 20 passes for 204 yards and a touchdown.