The Red Devils could finish in the top four of the Premier League if they can avoid defeat in their final two league games.
And Kenyon believes Solskjaer has improved the attitude and other factors surrounding the club as well.
He also believes the club's transfer strategy has improved under Solskjaer as well.
Kenyon told The Telegraph: "I don't think people fully understood what United is all about. United is a huge club and just because you are a world-class player, doesn't mean you can go there and be successful.
"I don't think United is about paying the biggest transfer fees. Whilst we always paid really good wages and competed in transfers - although Alex would continually say we never gave him enough money - what we got were players who really wanted to be at United for the right reasons.
"I think they have lost that a bit and they are getting that back, and that's why I think they will come back.
"Ole is good because he understands that aspect of it. It's really important."