Martial said he was delighted to renew his contract and was overwhelmed by the support of the United faithful.
The results are quite staggering as the statistics show that Martial has scored more goals (32), made more assists (16) and has a far better goals-to-shot ratio (18.5) than a young Ronaldo. That's one of the things I keep telling him - you've got to read and sniff whenever there is going to be a chance.
"You've got to model yourself on someone and you've got to have more challenges ahead".
Mostly deployed in a wide role, Solskjaer has revealed the 23-year-old wants to play centrally - a position now occupied by Marcus Rashford.
He struggled to prosper under the rigid philosophies of Louis van Gaal and Jose Mourinho, but the attacking mindset of Solskjaer, a former striker who enjoyed such success during his time as a player with the Red Devils, could see him blossom in the coming months (and potentially years if the current interim boss gets the gig full-time).
As quoted by the Manchester Evening News, the Norwegian urged: "It's very equipped".
He appears to be playing with more confidence now, and Solskjaer sees the new contract as a sign of the club's faith in the forward.
The 23-year-old cost United a whopping £58 million back in 2015 from Monaco and Martial immediately impressed.
"As a young lad moving overseas it's not easy, but now he knows he's going to stay here for the coming future and we believe in him".
"It's a confirmation that we are happy with him and we believe in him he's got fantastic potential", the scorer of the 1999 Champions final victor explained.
"Anthony has done some rehab work, so he will try a session today [Friday], so I would imagine he would be available to be involved". "This is the ideal club for Anthony to progress his development as a top-class forward".
Solskjaer confirmed Anthony Martial would return to the squad after missing the Burnley game through injury but it seems likely he will have to settle for a spot on the bench.
"When he gets chances he's a fantastic finisher, so he needs to get more chances", said Solskjaer.