Juan Mata's penalty, awarded by VAR, gave United the lead midway through the first half before Romelu Lukaku's neat finish doubled the lead before the break. And Solskjaer is more than aware of what lies ahead.
"He helps us a lot", Lukaku said of Solskjaer.
"Some players like Matteo [Darmian] played out of position but I thought he was excellent".
Reading, second bottom in the Championship and without a win in 11, battled well and troubled a flat-looking United at times and fashioned numerous chances that should have been put away.
"It has to start with the way we play because results you can not control", he said. They have a process to look for the next manager but the more you're here the more you enjoy it.
The game will pitch the Norwegian against the man who remains favourite to become the next United boss on a full time basis - Mauricio Pochettino.
"The pleasing thing is we're through and it's another clean sheet".
"Tottenham have performed fantastically this season and they've got a great way of playing". He took his goal excellently, rounding the goalkeeper easily before tucking away. Months of misery and depression have come to an end following the departure of Jose Mourinho and as we roll into 2019 there is a new wave of optimism at the club.
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Do you think Ramsey will be a success in Italy? "For now, he is an Arsenal player and we are not the only ones [interested]". I am happy because we need that respect between us. "It's a title and it's a possibility for us to do something important".
This match also highlighted the tinkering still required with VAR as the length of delay was nearly as frustrating as lack of communication inside Old Trafford before Mata scored from the spot.
"He really wants me to face the goal because he knows that I am at my most unsafe when I do that, when I'm moving off the shoulder of the defender but also trying to stay on the move all the time", Lukaku said.
"But then they were probably checking if it was offside or not, probably was".
United will travel to Dubai for warm-weather training after Saturday's game, and Solskjaer warned it will not be a holiday.
"Hopefully, he'll be okay for next weekend", Solskjaer said.
"He was feeling his hamstring, but he should have told me one minute before because I made two subs". A Blackpool fan climbed on to the roof and sat down in protest at the conduct of his club's owners but was persuaded to come down after a lengthy stand-off.
"I'm not sure if Paul's going to be ready, he got a knock against Newcastle".
It was left to fellow Spaniard Alvaro Morata to score in the 49th and 59th minutes, with the striker set up both times by crosses from 20-year-old winger Callum Hudson-Odoi. Now he's had 60 minutes, so it's about building up again. Ole said, "You know we're about winning trophies, of course, and the FA Cup final is such a fantastic final to play in".