Solskjaer has left United to 14 wins in his 19 games in charge since taking over as interim boss after Jose Mourinho was sacked last December.
United are set to appoint a permanent successor to Mourinho in the summer and Solskajer is the overwhelming favourite.
“He has gone in with simplicity and has brought belief back to the fans,” the club’s all-time record goalscorer said.
“He has made the place enjoyable again to go into work every day. The staff around Carrington are enjoying working there again and that does rub off.
“When you see the staff happy around the players, it makes it a happy environment to work in.
“He is doing a fantastic job and I’m sure he is the only candidate for Manchester United to take that job and it will be great to see him get it and bring some of the players he wants to bring in and keep moving the club forward.”
Rooney also revealed he is looking to follow in Solskjaer’s footsteps by going into management once he has retired as a player.
The 33-year-old is currently playing out his final days with DC United in America’s MLS.
He enjoyed an excellent debut season with 12 goals in 20 appearances and has shown little signs of decline in the USA.
However, he insists he is planning for the future and says that coaching is the natural next step.
“It is something I want to do and am passionate about. It is what I know,” he added.
“It would be a shame to have the career I have had as a player and not to try and take that knowledge and experience into management and give it a go. That is what I want to do.
“The plan for the next few years why I’m still playing is to try and get my badges complete and put myself in a position when I do finish playing that if I can take an opportunity if it does come up.
“It is something I will certainly have a go at and hopefully I can be successful at it.”