The two sides will meet in a high-stakes clash at Old Trafford, with City locked in a tight Premier League title race with Liverpool and United scrapping to get into the top four.
City have previously been accused of ‘tactical fouling’ to prevent counter-attacks when they are pressing high up the pitch, and Solskjaer expects to see that on Wednesday.
“We have got to be ready for the press and the quality they have got on the ball,” he said.
“When we win it we have got to be ready for their aggression because they will snap at your ankles and heels and kick you.
“They will not allow us easy counter-attacking. There will be fouls, no doubt about it.”
"I am confident in my team and myself, and I'll be ready to take this challenge on," the boss says. "When you go through bad results, you've still got to be confident enough to say 'this is the way we're going to do it'. We're planning ahead." #MUFC
— Manchester United (@ManUtd) April 23, 2019
United go into the match on the back of a humbling 4-0 loss at Everton on Sunday, a sixth defeat in eight which led to questions over whether Solskjaer is indeed the right man for the Old Trafford job.
The Norwegian won 14 of 19 games while in a caretaker role, but has overseen four defeats in six since taking the job permanently.
Asked if he could turn it around, Solskjaer said: “I would like to to say yes. It’s not down to me to say that but I’m confident in my team and I’m ready to take on the challenge.
“I know it’s a big challenge, that’s why I came in when I came in.”
A big summer of rebuilding awaits but Solskjaer said he could be trusted to make the right calls on United players.
“I would like to think so,” he said. “I like all these boys. I love them. They are great lads. I have to manage for the club. I help the players but I manage for the club. I am putting all my efforts into doing what is right for the club.”
Solskjaer had questioned his players’ attitudes immediately after Sunday’s game but adopted a more balanced tone on Tuesday.
— Manchester United (@ManUtd) April 22, 2019
“Now is not the time to be making wholesale changes in the squad,” he said. “We’ve been doing great. Only City and Liverpool have taken more points than us in the last 18 games and that’s a great effort by the boys.
“We were where we were when we came in and we’ve given it a real go. You see lots of the Manchester United standards and DNA in many of these players.
“But we will have to get some in and some will have to go out.”
48 – Manchester United have conceded 48 Premier League goals in 2018-19, their highest ever tally in a single season in the competition and their most in a top-flight league campaign since 1978-79 (63). Spiralling. #EVEMUNpic.twitter.com/23ftz4f8e6
— OptaJoe (@OptaJoe) April 21, 2019
Given the problems exposed at Goodison Park, Solskjaer said there was no one he would rather be facing than City on Wednesday.
“It was the best game we could ask for now,” he said.
“The players are hurting. We had a meeting after the game and you can see all the players were really hurt by that performance and the City game is perfect. There is no hiding place on the pitch.”