The Spanish giants are one of the favourites to lift the trophy in Madrid in May but Solskjaer, who will return to the scene of his most famous United goal in the second leg at the Nou Camp on April 16, says the 3-1 win over Paris Saint-Germain at the Parc des Princes is proof they can beat anyone.
Unlike their treble-winning 1999 campaign, Manchester United are not in contention in the Premier League title race - though they do remain in the FA Cup and face Wolves on Saturday at 19:55 GMT, live on BBC One and the BBC Sport website. It's all happening for United in April, but it feels great that the team is in the mix of the most exciting games in football again.
'We want these games against the biggest clubs and the biggest teams.
"At the moment, they feel that he can not be involved at the weekend".
"You're always measured on results, but we played a good game against Arsenal", he said. United won both and face another hard game against a Wolves team who had the better of them at Old Trafford in September.
"We're not challenging to win the league this year but we are challenging for the other two trophies".
"We can go all the way, but you've got to be lucky and good".
Solskjaer's former Old Trafford team-mate Paul Scholes quit his first managerial role at Oldham this week, just 31 days after taking charge of the League Two club.
"Should both clubs be drawn at home in the same week, the team having finished lower in the domestic league the previous season - in this case Manchester United - will be reversed in accordance with the UEFA Club Competitions Committee principles", a UEFA statement read, per Sky. It's these games our fans and this club crave'.
"He's probably got his reasons why he left".
"He's coming back on Sunday", Solskjaer said of Sanchez.
'I'm completely different to 99 per cent of managers, ' said Solskjaer.
While Lukaku may miss out, Phil Jones is back after five weeks out through illness, plus Jesse Lingard and Ander Herrera have been training following hamstring issues.
"The draw is just around the corner for the Champions League and we can't wait to find out who we'll play".