Solskjaer, loaned to United by Norwegian club Molde for the rest of this season, reiterated that there have been no discussions with United's executive vice-chairman Ed Woodward over the permanent job despite his desire to take the hot seat.
Manchester United are playing at a very high level right now.
He said when quizzed on a possible extended stay in the Red Devils hot-seat: "We haven't had that conversation".
Manchester United won't have Eric Bailly (suspension) and Marcos Rojo (injury); in fact, the Argentinian defender travelled to his native country so he can enter a rehab program closer to his family.
It was because of him that Manchester United came away with all three points from Wembley.
United have a proud history of producing their own talent, having included at least one youth-team graduate in every first-team matchday squad since October 1937.
And how they needed some optimism to cling to after the pain of defeat was exacerbated by the sight of captain Harry Kane, their most important and influential figure, limping heavily as he made his way towards the dressing room at the final whistle accompanied by a physiotherapist.
"Team spirit, we can defend - Jonah [Phil Jones], Victor (Lindelof) fantastic with Luke (Shaw) and Ash (Young) next to them".More news: Hudson-Odoi tells Chelsea he wants Bayern move
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Solskjaer believes Rashford can become as good as compatriot Kane.
Asked if this was the best he had seen from De Gea, Solskjaer said: "Well, he had one against Arsenal a couple of years ago - but he should have held a few of them!"
The Swedish worldwide stood up strong against Son and Kane as he produced some crucial tackles and even won several aerial duels.
"And how I shouted at the goal of Manchester United was unbelievable". He was one of the people I admired the most, an inspiration.
"It should always be about the players, because it's not about me".
Ander Herrera complimented Matic well in the center of the park and often seen moving out with the ball to give the defense some respite against a relentless Spurs attack.
Solskjaer hopes his one-to-one chats will help to get the best out of players such as Romelu Lukaku and Alexis Sanchez, expensive purchases who have had hard seasons.
Whenever Martial received the ball, he tried to drift inside and create problems for Trippier down the left-hand side.