The Belgium worldwide has been critcised for his performances this season with just six goals in 22 appearances so far.
Jose Mourinho said on Wednesday he is "immensely proud" of his time at Manchester United but refused to delve into the issues that played a part in his Old Trafford exit.
"For United, a top-four finish under Solskjaer is going to be hard - though not impossible", the Bulgarian told Betfair, per the Daily Mail.
Solskjaer's first game in charge is on Saturday night against Cardiff.
James Harden Makes NBA History, Drops 50 Points Over the Lakers
Soon enough, LeBron James may go ahead and pressure team management to better equip his supporting cast for a playoff run. James continued his dominance over Charlotte, improving to 27-1 in his last 28 games against Michael Jordan's franchise.
But Lukaku could be in contention for United's clash against Bournemouth at Old Trafford on December 30.
Solskjær was keen to underline the importance of uniting a club and restoring pride after a turbulent few months under Mourinho.
'We have got 23, 24 players, they are all quality and they will all get a chance with the amount of games coming up and they will have a chance to show they are Manchester United players'.
The French World Cup victor was dropped to the bench for United's last three Premier League games.
"I'm going to enjoy the ride".
Obamacare-Related Stocks Plunge After Judge Rules ACA Unconstitutional
And, if that appeals court says no, the states favoring the law can take that request to the Supreme Court. The appeals process is expected to take some time , potentially as long as two years .
"I know the club's now running the process to find the next manager so I'm going to be myself in the meantime with Mick [Mike Phelan], Kieran [McKenna] and Michael [Carrick, his assistants]".
Solskjaer believes that he can get United's players back in a positive mindset, as he learned from the best when it came to man-management. "He's been the biggest influence, but I'm a different personality".
'I've seen all the teams, so I know a little bit about them, but it's not about the opposition, it's about us.
"We'll get the players enjoying their football again".
The midfielder also wants Manchester United to show more ambition and compete for the best players in the transfer market in order to build a strong team ahead of next season. "Everyone starts with a clean slate and we want players to perform, and we'll give them the chance".
Champions League draw: Ranking the round of 16 ties
The Red Devils will play Paris Saint-Germain, whilst Jurgen Klopp's Reds face an intriguing tie against Bayern Munich . Manchester City and Schalke have played each other only once, City winning 2-0 in the Europa League back in 2008.