It was Martial who stole the show.
He was also keen to emphasise that United's revived fortunes since he took over in December from Jose Mourinho were about the whole club's work and not just his own influence.
Solskjaer, who left in the in-form Marcus Rashford on the bench, commended Pogba's impressive run of performances while preferring not to measure them against his team-mates.
One player nearly certain to feature is Paul Pogba, who has been superb since Solskjaer took over at Old Trafford.
"(There's) just a positivity about the place to grind results out when we're not playing well, to play forward, to play with intent and goal", said Jones, who extended his contract until 2023 last week.
"He's asking me to attack more". Things are working out well for the other attackers [too] and I hope we can continue to be as effective.
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"When our new coach [Solskjaer] came in he had a lot of confidence, a lot of determination, and that was really helpful".
"The job that Ole is doing now is exactly what the club asked him to do - to get the club happy again on and off the pitch".
The France midfielder fired United into an early lead and, after Anthony Martial made it 2-0, wrapped up the win with a second-half penalty at Craven Cottage. The home side created more chances with Andre Schurrle shooting over from seven yards.
"I have played a couple of games when we played Real Madrid and (Brazil's) Ronaldo and (Luis) Figo and all those were coming to Old Trafford".
Calls for Solskjaer to be permanent manager when he took over were largely non-existent. It promises to the biggest test yet of Victor Lindelof and Eric Bailly's renaissance.
As for his goal double against Fulham, Pogba said: "It's always great to score goals, most important is to win games".
United's best recent performance in Europe's blue riband club competition came five years ago when David Moyes's side reached the quarter-finals, having last played in the final when losing to Barcelona in 2011.
"Then I met the staff who've been here since I was a player".