Linebacker Brandon Chillar will likely miss Sunday's game against the San Francisco 49ers because of a shoulder injury while running back Dimitri Nance has a concussion and will be evaluated this week.
McCarthy praised the play of Rodgers, specifically his work on the Packers' 90-yard scoring drive in the fourth quarter.
"I've never seen a quarterback in my time here play to that level in the passing game," McCarthy said. "His performance, how he's handled the pressure versus empty sets, handling their three-man rush ... I thought that he played at an extremely high level in the passing game."
The lack of an effective running game led Rodgers to attempt 35 passes for 344 yards and one touchdown. Rodgers added a team-high 51 rushing yards.
McCarthy knows the Packers will have a tough time winning in December with Rodgers as their leading rusher.
Still, he doesn't seem particularly concerned with the way his running game struggled in Sunday's loss at Atlanta. McCarthy says matchups dictate the offense and Green Bay was emphasizing the passing game against the Falcons.
"We got into a game really throwing the football and our situational run wasn't where it needed to be," McCarthy said. "We go through it every week. Our opponent dictates how we run the ball."
The Associated Press contributed to this report.