The Norwegian made five changes for Sunday's quarter-final tie at the King Power Stadium, with the likes of Bruno Fernandes, Luke Shaw and Edinson Cavani left on the bench.
All three players were brought on with United losing 2-1 in the second half but they made no impact as the Foxes went on to grab a third goal to secure a spot in the semi-finals.
"I would've done the same again, the changes were necessary to do. We knew Paul [Pogba] wouldn't last more than an hour and I don't think I would do anything differently. What goes on behind the scenes isn't always known," Solskjaer told BBC Sport.
He added later, "I would have started the same team again, we felt they had more than 45 minutes in them, they're important players for us, that's why we started."
The UEFA Europa League is now United's only realistic chances of silverware this season, with the Red Devils set to face LaLiga outfit Granada in the quarter-finals.
