The Norwegian has asked his players to express themselves until the end of the season.
United sacked Mourinho on Tuesday morning after a terrible start to his third campaign in charge.
And Solskjaer has been handed the job until the end of the season.
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The former United striker wants his players to focus on themselves rather than their opponents going forward in a clear dig at Mourinho.
He said: “We’ve got a great set-up. The analysts were watching Cardiff this morning.
“I’ve seen the teams, I watch the Premier League. It’s about us though, not the opposition.
“We want to see the players express themselves. Our main focus is us, the opposition comes later.”
Solskjaer has also revealed his biggest influence is Sir Alex Ferguson as he takes over at Manchester United.
He explained: “I’ve had 300-400 games as a first-team manager. I’m confident. I’ve won the league, I’ve won cups, I’ve been relegated. It’s about man management.
“It’s about managing players, staff and it’s about getting the best out of everyone.
“The boss [SAF] will always be the best at that.
“I get my managerial style from him. He’s been the biggest influence but then again we’re different. I’m a different personality.
“I like to speak to people, I like to engage with people. I want to see people express themselves. That makes me happy.”
United return to action on Saturday when they take on Cardiff in the Premier League (12.30pm).
The Red Devils currently sit a massive 19 points behind leaders and arch-rivals Liverpool.