Solskjaer laid into their slow, laboured style of football - which former boss Jose Mourinho was heavily criticised for before being axed in December.
He said: "I am sure he (Solskjaer) will turn this situation around and we will do better".
Many believe it's no surprise to see numerous Red Devils' stars pull out of their global duty as Ole is taking after Sir Alex Ferguson's habit of asking his players to prioritise the club.
It is a striking contrast to the final months of Mourinho's reign, with Pogba the player who was repeatedly claimed to be at odds with the Portuguese.More news: Turkish Foreign Ministry says Greek reaction to Erdogan rant 'inconceivable'
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And he says the stunning comeback win over Paris Saint-Germain in the Champions League's last 16 shows the players have been galvanised by the former Old Trafford striker. But he believes everyone at the club wants Solskjaer to stay beyond the end of this season.
Lastly, the 45-year-old asked his players to look back and analyse their own individual performances during the worldwide break, and learn from their mistakes.
"Chelsea, Arsenal and Tottenham will give their best to be in the top four".
He declined to elaborate, saying only: "Maybe we lost confidence, maybe things went wrong".
The Norwegian said his side have "got to go again" after the global break as they bid for a top-four finish in the Premier League and face Barcelona in the Champions League quarter-finals.