Left-back Luke Shaw, who has missed United’s last five matches due to a hamstring problem, could feature against the Gunners after returning to training.
“Luke Shaw is back in training today, he is getting there, so let’s see how he reacts in the next couple of days,” Solskjaer said on Friday morning.
“He’s been working hard. We hope to see him before the international break, maybe on Monday but I’m not sure.”
3:12 Highlights from the Carabao Cup third-round match between Manchester Utd and Rochdale
Solskjaer considering Greenwood start
United are left with 17-year-old Mason Greenwood as their only recognised striker for the game at Old Trafford, and Solskjaer could continue to put his faith in the youngster after his goals against Astana and Rochdale.
“He [Greenwood] has proved when he gets in the box he is dangerous,” the United boss said.
“I am not worried about him at all but we have to manage him. You can’t throw him in at the deep end all the time. I have the weekend to think about starting him.”
0:55 Ole Gunnar Solskjaer says he will think about starting Mason Greenwood against Arsenal
United are unbeaten in their last 12 Premier League games against Arsenal at Old Trafford but have lost three of their last six home games in the league.
They have only scored four times in the Premier League since a 4-0 win against Chelsea on the opening weekend of the season.
View from the press room
Sky Sports News reporter James Cooper gives us his take on Solskjaer’s news conference…..
“This was an upbeat and positive Ole Gunnar Solskjaer following another trying week for the Norwegian and his Manchester United squad that’s potentially seen his injury problems deepen.
“There’s a lot of goodwill towards the United manager from journalists who work the patch and who’ve known him for a long time, but that doesn’t mean problems can’t be ignored or issues not addressed.
“Solskjaer certainly gave his most assured display of the season so far for the assembled media, but also recognises the level of criticism United are facing on social media and online despite fans being positive to his face.
“Once again he told us that he never said it would be easy but that’s exactly how he made things seem in that opening burst of 15 wins from 17 games, a run that seems a world away right now.