It was painful viewing for Solskjaer, who was appointed the club's permanent manager on Thursday, as United squandered chances to improve on their 1-0 early lead before Wolves hit back through Diogo Jota and a late Chris Smalling own goal.
One of the key names at the heart of United's makeover is Scotland global midfielder Scott McTominay, with fans seemingly split over where he fits into the club's plans moving into their new era.
United had appeared in control despite Wolves having a man advantage and did not concede a single effort on David de Gea's goal until a Joao Moutinho cross was turned into his own net by Chris Smalling. We reacted well. It's not easy to play against Man United.
Solskjaer was clearly disappointed in his post-match comments to the media, but the boss had plenty of positive things to say about McTominay's display in the Midlands and recent form.
In Football Leaks material published by Der Spiegel in May 2018, it was claimed Sanchez, whose contract runs to 2022, earns £391,000-a-week, with an additional £75,000 for every game he starts.
"They deserve credit because they have pounced on our own mistakes".
"We will use one or two days to analyse and recover and then we will prepare for Barcelona, which will be a fantastic challenge for the club", said Solskjaer, who scored a famous injury-time victor in United's 1999 Champions League triumph.
The 22-year-old was one of the only United players to show some fire, and display a will to win, even if it wasn't our night. "We created enough chances to win the game so I don't think there's any "resetting" (after his fast start as United manager)".
"He made some fantastic saves".
United remain fifth in the Premier League, behind Tottenham on goal difference, with six games left and face Barcelona in their Champions League quarter-final first leg next week.
It was a second win in three weeks over United at Molineux for Nuno Espirito Santo's men and he hailed the reaction of the FA Cup semi-finalists to falling behind. "We gave them that first goal, we have to be honest". "It made it more hard". "Now we have to dust ourselves down and get ready to go again".