Rooney scored twice in a comfortable 4-2 Champions League victory over Bayer Leverkusen on Tuesday, with the second taking him to 200 goals for the club. Midfielder Carrick was full of praise for his England team-mate as he looked ahead to the game at the Etihad Stadium.
"It was probably Wayne's best performance that I've seen for a while. It's great to have him in that form - he can be untouchable when he's like that.
"We won at the weekend, and on Tuesday we took it to another level and improved again. Hopefully we can do it again on Sunday. The performance will breed confidence, and we'll have to do it all again on Sunday."
Manchester City also enjoyed success in the Champions League earlier this week with a 3-0 away victory against Czech side Viktoria Plzen and will be looking to returning captain Vincent Kompany to keep Rooney quiet.
City manager Manuel Pellegrini is expecting Kompany's return from injury to give his side a much-needed boost.
"It will give confidence for all the players. We have the derby next Sunday and winning away in the Champions League, scoring three goals, having at least three or four more chances to score and a clean sheet - I think it will give all the players a lot of confidence for the next games."
City sit one place above their closest rivals on goal difference with both teams managing two wins and a draw in their respective Barclays Premier League campaigns so far.
Leaders Liverpool will welcome newly-promoted Southampton to Anfield on Saturday without £8.5million January signing Philippe Coutinho. The midfield playmaker is having an operation on his shoulder and is expected to be out until the end of October.
Coutinho's absence could affect the supply line to Reds striker Daniel Sturridge, who has struck four goals in four league games, a stark contrast to Southampton who have managed just two league goals in total.
Saints midfielder Morgan Schneiderlin said his side are fully aware of their lack of goals in the campaign so far.
"Of course it's an issue because we can't win games at the moment, but we have very good players and it's not like we didn't create anything (on Sunday). It's just a matter of time. The only worry is if we didn't create anything."
Elsewhere on Saturday, Norwich take on Aston Villa in the early kick-off while Hull travel to St James' Park to face Newcastle. West Brom meet Sunderland and West Ham welcome Everton to Upton Park. Saturday's evening kick-off sees Fulham take on the only English club not to win their opening Champions League game, Chelsea.
There is also a busy Sunday fixture list due to European activity this week.
In addition to the Manchester derby, Arsenal face Stoke, newly-promoted Crystal Palace welcome Swansea to Selhurst Park and Tottenham travel to the Welsh capital to face Cardiff.
Saturday's Premier League Fixtures
Norwich vs Aston Villa
Liverpool vs Southampton
Newcastle vs Hull
West Brom vs Sunderland
West Ham vs Everton
Chelsea vs Fulham
Sunday's Premier League Fixtures
Arsenal vs Stoke
Crystal Palace vs Swansea
Cardiff vs Tottenham
Man City vs Man United