United scraped into the semifinals via a questionable penalty converted by Bruno Fernandes.
Afterwards, Solbakken told VG: "There's a bit of cynicism. (Anthony) Martial goes down and gets a penalty.
"I did not say much (to Solskjaer), but he was probably a relieved man. I get it. Because it was probably not a fun situation for him, even if he does not want to admit it.
"They had no great chances. We had two or three big ones.
"We are missing a couple of big names and have some players who have not been close to this level before. United played with their 13 best players. We have to take that as a recognition."