The defensive duo are United's only two injury concerns so Solskjaer has a healthy squad to choose from as he prepares to welcome PSG to Old Trafford for the first leg of their Champions League last-16 tie.
United were outside of the UEFA Champions League places and reeling following a 3-1 Premier League loss to Liverpool but the club have gone 11 matches without defeat in all competitions since Solskjaer's appointment as caretaker to climb to fourth in the table.
"Well, we've got a coach who has got perhaps different intentions, a different approach, and we're trying to do what he's asking us to do, of course".
"You've just got to be ready when you get the chance".
Solskjaer says he spoke to co-owner Avram Glazer after the match when the American visited the United dressing room, but he insists the team's improvement is not simply down to his impact. They started calling me "boss.' I told them: 'Stop that".
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"We've worked together and known each other for so many years. We are really happy to have him [Solskjaer] here and we hope we can continue [together], but the final decision isn't with us".
Mbappe's meteoric rise, from teenage sensation with Monaco to the world's second-most expensive player at PSG and, most likely, United's biggest headache, has been as mesmerising as Martial's ups and downs became a source of prolonged frustration for United supporters.
Just after the hour-mark, Pogba would score again, this time from the penalty spot after Juan Mata was fouled in the box by Maxime Le Marchand, a player who had a game to forget.
'Pogba is risky in the penalty area as well when the ball comes in from the right and he arrives at the right time, he's a very good header of the ball, a key player absolutely and he's now becoming a leader, he loves playing for this club'.
Ryan Babel, in particular, was often guilty of taking a series of terrible first-touches, which robbed Fulham of the opportunity of initiating numerous counter attacks while Luciano Vietto also missed a golden opportunity in the very first minute of the game.