"It is time to move forward after an emotional and tiring day," the Reds legend said, after his decision to quit when his knee trouble flared again.
"Everything has happened so quickly and I have not had a meeting yet about in what capacity the manager wants me to carry on. But we've had little chats. We have talked about doing some coaching here and that will be great.
"It is a new path and it is still a bit unsure. But we will speak about what will happen. Nothing is set in stone yet but we will find something that is good for both sides. That will happen in the future.
"However, in the first place it is the plan to start my coaching career at United. I will now be on the opposite side of the white line and I'm starting from scratch.
"I need my coaching badges and I will be working towards them. I have always wanted to learn and I have now got a lot of learning to do on the coaching side.
"My education will be done at United and there is no better place to do it. Ultimately, yes, I'd like to stay on and teach someone else here everything I have learned.
"I have been so fortunate to have worked for the best manager in the world and from first day to last I have also worked with some of the best players in the world at Old Trafford.
"I have always tried to take notes and study the gaffer very closely so I have learned from the best," Solskjaer added.
"Once I get my official UEFA badges we will see what happens from there."
He is also extremely grateful for the support he has received through the years.
"The gaffer has been an amazing boss and the medical staff have been brilliant," Ole added.
"They don't get the public praise they deserve but they have been fantastic for me. They helped me a lot.
"The support I have had from the fans through good and bad times has been very touching. It has been a great relationship.
"During my injury problems I had sackloads of letters from them. That was a very big motivation for me.
"I wasn't able to answer them all but I really was grateful for their support. It's been a fantastic 11 years, I'm privileged to have played at this club."