Concise News learned that the Belgium international did not feature throughout the game as United strolled to victory in Australia.
Earlier this week, Inter Milan confirmed they were in talks to sign the 26-year-old, who has lost the manager’s favour to Marcus Rashford.
Asked whether Lukaku would be a Red Devils player next season, Solskjaer refused to disclose the next line of action.
“Let’s see when the season starts,” Solskjaer told reporters after the game.
“We’ve not had any bids that we’re considering. All my conversations with the players I will keep confidential. That’s between us – that’s my privilege.
“There’s been so much speculation but yes he should be fit for Wednesday. He trained with the team yesterday but he was not useful today.”