Solskjaer said he showed faith in his young strikers after allowing Romelu Lukaku to join Inter Milan in August.
Substitute Gabriel Martinelli fired a last-gasp winner to earn Arsenal a 1-0 victory over Manchester City on Sunday.
Liverpool and Manchester United's globe-trotting squads must shake off the effects of international duty for one of English football's most eagerly-anticipated clashes on Saturday.
IMAGES from the English Premier League matches played on Wednesday.
Images from the English Premier League matches played on Saturday
Champions Manchester City could only muster a 2-2 Premier League draw with Brighton & Hove Albion on Saturday.
Brighton secured their second victory of the competition with a comfortable win at Ajax thanks to goals from Ansu Fati and Simon Adingra.
A brilliantly-worked goal by Ryan Christie and a Justin Kluivert penalty gave Bournemouth shock 2-0 Premier League win at home to 10-man Arsenal.
The defeat halted Brighton's impressive three-game winning streak which included a 4-1 win over Chelsea and a 3-1 victory at Arsenal in the League Cup on Wednesday.
West Ham United and Chelsea both narrowly avoided ignominious FA Cup exits with narrow wins against lower-league opposition but Everton marked Frank Lampard's first game in charge by sauntering past Brentford into the fifth round on Saturday.
The Premier League found a record 42 cases of COVID-19 among players and staff at various clubs over the past week.
Liverpool hammered Sparta Prague 6-1 on Thursday to storm into the Europa League quarter-finals 11-2 on aggregate.
A summary of Sunday's action in the English Premier League.
Rennes denied late Europa League equaliser due to little-known rule
'United can change nothing or everything, so it's tricky preparation-wise, but it's early and we don't have a lot of info. It's tough... United away will never be easy.' Liverpool manager Juergen Klopp says wounded Man Utd will not be easy to play.
Images from Saturday's action in the Premier League.
IMAGES from Premier League matches played on Sunday.
The paper added that at least four managers as well as players from several teams could be affected.
Brighton's Potter urges players to get vaccinated after family member's COVID death.
A round-up of Saturday's action in the English Premier League.
Arsenal's Arteta wary of old foe Villa
Bethany England's early rocket proved enough for Chelsea as they beat newcomers Tottenham Hotspur 1-0.
Weir capitalised on a mistake by United captain Katie Zelem as City emerged victorious on the opening day of the season
Holders Liverpool survived a penalty shootout to see off third-tier Derby County
Arsenal had more than twice as many chances but failed to take any as the visitors defended gamely.
In Conte's absence, Stellini guided Spurs to wins over Manchester City, West Ham United and Chelsea.
Images from Saturday's action in the Premier League.
After bagging the League Cup, being locked in a titanic battle with Liverpool for the Premier League title and in the Champions League quarter-finals, Pep Guardiola's side remain on course for an unprecedented clean sweep.
Reigning champions City are also involved in a separate independent hearing into the club's alleged breaches of Premier League financial regulations which began in September, with a verdict expected some time before the end of the current season.
Images from the English Premier League matches played on Saturday.
A round-up of Saturday's action in the Premier League.
IMAGES from the Premier League matches played across England, on Sunday.
Players from both teams took a knee in solidarity with the Black Lives Matter movement before Wednesday's game at Toyota Stadium in Frisco, Texas, but their gesture was overshadowed by booing from a small section of fans.
IMAGES from the English Premier League matches played on Saturday.
Eight wins and a draw in their last nine games had seen Leicester emerge as the closest pursuers of runaway leaders Liverpool but they went down 3-1 at the Etihad despite taking an early lead through Jamie Vardy. Images from the English Premier League matches played on Saturday.
Manchester United languish 14th in the standings on 19 points, their worst placing to end a calendar year since they were 15th in 1989.
Images from Saturday's Premier League matches.
Five talking-points from the Premier League weekend after Manchester United extended their winning run against Tottenham Hotspur, Liverpool were made to work hard for their win at Brighton & Hove Albion and Arsenal losing at West Ham United.
Liverpool climbed to the top of the Premier League table with a 2-1 victory over struggling Wolverhampton Wanderers on Saturday.
Sheffield United's David McGoldrick scored twice as they stunned Chelsea with a 3-0 win at Bramall Lane on Saturday, loosening the visitors' grip on a Premier League top-four place. Raheem Sterling struck a hat-trick as Manchester City crushed Brighton 5-0 at the AmEx Stadium in the Premier League on Saturday.
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