The 24-year-old has netted just twice in 15 matches so far this term, however, and Solskjaer believes he is still working towards his ‘peak form’ due to the lack of a proper pre-season schedule.
Martial’s progress was also halted by a three-game suspension he received after being sent off in the 6-1 defeat to Tottenham, but Solskjaer expects him to reach his top form sooner rather than later.
Speaking ahead of Manchester United’s Champions League clash against Istanbul Basaksehir on Tuesday, Solskjaer said: ‘Anthony did well last season and took big strides in becoming a striker we know he can be.
‘Like a lot of the players, he’s not had a pre-season as usual and he’s working towards his peak form. He missed a few games through suspension so he lost a bit of football too.
‘Hopefully he will continue working hard to get to his best again.’
The Red Devils boss added: ‘He made strides last season. I think he will take even bigger strides and develop more.
‘He scored a lot of goals last season, a big return. There are demands in any position, so we want Anthony to kick on.
‘For me it is about getting the chances, he has always been good at finishing. Maybe the keepers have made some good saves against him but it’ll change for him soon.’
Martial played 90 minutes of Manchester United’s Premier League victory over West Brom on Saturday but failed to score and attracted criticism from Frank Leboeuf.
‘He played with the international team and missed three chances against Portugal. He missed another chance today.
‘For a world-class player, it was an easy chance. He has to be a killer. I’m not pleased with any of those players. What I saw was a poor performance from Manchester United.’