Here are three talking points from this crucial result that saw the Red Devils fire into the top-four.
"Last year, we said that getting into second place was a fantastic thing due to the qualities we had compared to the qualities of the other teams fighting for the top four", he told RedeTV!
10 wins and one draw from 11 games under Solskjaer has transformed the mood and United head to to France full of confidence.
The decision to make six changes with Tuesday's Champions League last-16 first leg against Paris St Germain on his mind could have backfired in the capital, but Fulham and their awful defence were no match for the visitors.
"We started very well", he said.
Unai Emery warns Arsenal fans finishing in top four will be hard
The next opportunity is Saturday against Huddersfield. "Also knowing other teams, they have an advantage to us". We are strong at home, we need to do better away. "I hope he's continuing to improve every day".
"It was my dream to take Molde into the Champions League, because I feel I can do something there as a manager".
"His attacking play, when he arrives in the box, there is always going to be a chance of scoring a goal, an assist or a goal". When we need three points, we get the three points.
"I like to come back to Fulham but, as an away supporter, to be able to get that whole stand, it nearly feels like a home game when the fans are at it from the first to the 90th minute".
In the center forward position, Rashford has been fantastic under Solskjaer but he needs to rest and we can expect Belgian global Romelu Lukaku to return to the starting XI. They have won 25 out of 27 possible points, winning nearly half of their total points in just nine matches, eight less than Jose Mourinho had at disposal previously.
And whilst Sessegnon was quiet, along with many of his team-mates, in the defeat, it seems that it hasn't put off the Old Trafford outfit from making a bid once the transfer window re-opens.