The Norwegian won six Premier League titles, three FA Cups and scored the winning goal in the 1999 Champions League final in an 11-year-career at Old Trafford.
Asked about following in Sir Alex Ferguson's footsteps, he told The Sun: "It's a dream but let's take just one step at a time. I want to become a manager in England.
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"At the moment I've just started and it's been two years more or less in Norway. So the time will come. I've spoken to clubs and explained it's a bit early as I want to learn and don't want to jump too big a bridge at the start.
"Managing is not easy but it's very enjoyable when you are winning, it's challenging when you have a bad start."
After beginning his coaching career at United as a strikers' coach and then reserve team manager, Solskjaer won the 2011 Norwegian Tippeligaen in his first season as manager at Molde, where he spent two seasons as a player before moving to Manchester, and his side are top of the table again this year with just two games remaining.
Solskjaer revealed that part of a manager’s success results from the character of those selected to play, adding: "After playing at United, the best players were always the best people — like Roy Keane, Ryan Giggs, Paul Scholes, Edwin van der Sar."