Manchester United went into the game after a shocking exit from the Champions League on Tuesday following a 3-2 defeat in the hands of RB Leipzig and were looking to bounce back.
The Red Devils could not replicate their last season’s performance to beat their neighbours as both teams settled for a draw
Solskjaer believes his side have improved compared to last season despite an uneventful Manchester Derby.
"It is a fair result, they had some big moments, David de Gea made a great save, Harry Maguire had a couple of blocks that could have gone worst for us. We had three headers from corners and Marcus Rashford was a foot offside when we should have had a penalty,’ the former Cardiff City boss said after the game.
"Clean sheet is always a foundation to build from, the possession we had was more than before against City. Last season we won three games against them but it was mostly down to counter attacking football and last ditch defending, lucky moments too. This season is the most control we have had against them.
"I just look at improvement in our team, we have improved, better off in points (than last season) and some performances have been miles better.”
“We know the reasons why we have not started well, the lack of pre-season we have had. that is no cause for panic. I was disappointed with the results early on in the season but we are getting there. The players are focused and driven to do better than last season.”
Manchester United will make a trip to South Yorkshire to face Sheffield United at the Bramall Lane on Thursday.
