The France international signed a new contract with the 20-time English champions last month to secure his long-term future at the club.
Martial will remain at Old Trafford until 2024 despite reports linking the French talent with a transfer during Jose Mourinho’s spell in charge.
Solskjaer’s appointment has helped to get the best out of Martial along with his compatriot Paul Pogba and strike partner Marcus Rashford.
Martial scored Manchester United’s second goal in a 3-0 win over Fulham at Craven Cottage on Saturday afternoon.
The former AS Monaco forward has now scored nine goals and has made two assists in 20 games in the Premier League this term.
Manchester United interim manager Solskjaer talked up Martial’s talent following their comfortable victory in west London.
“Yes, it was towards the end of the game and we played a very poor game and Cristiano scored it,” Solskjaer told Sky Sports.
“He [Martial] does have similarities, of course. If he wants to be at Cristiano’s level, Anthony knows what he has to do.
“It’s up to him. He has the talent.”
The Manchester United interim manager was thrilled to see Martial commit his future to the club.
“I am glad he is in my team,” Solskjaer added. “He has contributed to so many chances, so many goals.
“He is a Manchester United player. He excites the crowd. He excites the manager. He excites his team-mates. And he is a great character around the place.”
Martial’s goal at Fulham immediately drew comparisons to Ronaldo’s famous strike at Craven Cottage in 2007 from Gary Neville and the club’s supporters on social media.
The France forward’s talent has never been disputed during his time at Old Trafford but the 23-year-old has struggled to find a level of consistency.
Manchester United will take on Ligue 1 giants Paris Saint-Germain in the first leg of their Champions League round of 16 clash on Tuesday night.
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