Solskjaer's men continued to struggle after the break and Callum Harriott tested Romero before Sone Aluko went close for the visitors. Months of misery and depression have come to an end following the departure of Jose Mourinho and as we roll into 2019 there is a new wave of optimism at the club.
Buoyed by a fifth straight win since the sacking of former manager Jose Mourinho, United's stars jetted off to the Middle East on Saturday night after beating Reading 2-0 in the FA Cup. It ties the record of Matt Busby, who also won his first five games in charge in the 1946-47 season.
"The squad travelled to Dubai after Saturday's 2-0 FA Cup win over Reading at Old Trafford for a training camp ahead of the Reds" next Premier League outing, against Tottenham Hotspur at Wembley Stadium next Sunday, 13 January'.
"I'm at my best moving off the shoulder of the defenders and stuff like that but also to try to stay on the move all the time and the work that we have been doing over the last couple of weeks is good", said Lukaku.
"I don't care", Solskjaer said.
"And the way how he wants us to play really benefits me because he wants me to be in a position where I want to be, so he understands what type of striker you are and he just plays to your strengths". Like his United team-mates, the forward did not have much meaningful time on the ball and looked like his confidence was beginning to slip with frustration sneaking.
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I think if you've ever got a chance against Arsenal , we've got more of a chance at Bloomfield. We gave Arsenal a real scare and they knew they were in a game.
Lukaku netted his third in as many games in first-half stoppage time, but things could have been different had Danny Loader and Callum Harriott done better with fine chances either side of the break. Get Lukaku a start, get Sanchez a start.
"You know the quality he has".
Solskjaer said he is keen to win trophies this season but suggested that the style, for now, was more important.
"You could tell everyone wanted the ball and wanted to express themselves and show what they could do". That will give me more of a reference for where we are against the top boys.
Despite the great start, it must be noted that after 21 games, none of Solskjaer's first four opponents are now above 12th place in the table.
"It means that it is missing in my team like a killer instinct".