"It was not a good time to come to Old Trafford," said a smiling Solskjaer, whose memorable goal gave United their dramatic Champions League win 15 years ago.
"But I thought we did well against them.
"I am pleased with our overall performance but we lacked that goalscorer who wants to score a goal, we lacked that 'oomph'."
Solskjaer hopes Kenwyne Jones, who completed his move to Cardiff from Stoke on Tuesday will be the man to provide that "oomph".
"He will help us. It is just a shame we didn't get the papers signed in time for him to play today," the Cardiff manager said.
Solskjaer said a deal to sign left-back Fabio from United had been completed, but a loan deal for Wilfried Zaha has still not gone through.