Ole Gunnar Solskjaer says he was "honoured and privileged" to take Manchester United "forward".
The Norwegian was sensationally sacked on Sunday after a dismal 4-1 defeat to Watford.
Speaking for the first time since his dismissal, Solskjaer told MUTV: "First of all, I want to thank the board and the owners for giving me the opportunity because it's not for everyone and I've had the opportunity.
"I'm so honoured and privileged to have been trusted to take the club forward, and I really hope that I leave it in a better state than when I came.
"It's one of those things you dream of in your life. When you've been a player, when you've been a reserve-team coach, the next job then, the only dream and the only thing you haven't done is to manage the club, and I have now.
"It's been a ball, it's been absolutely enjoyable from the first to the last minute, so I have to thank all the players because since I came in, they're top lads, top people. Some have come, some have gone, but all of them, they've been such an enjoyable bunch to work with.
"The board and the owners have backed me in [terms of] bringing good people in, good players in and I think, or I know, I leave this club with a better squad.
"I think everyone knows I've given everything for this club. This club means everything to me.
"I've made great friends, I've reconnected with some great friends, new staff coming in I've become really good friends with. The other staff that was here when I was there, we're good friends and we have connected and that's what it's about at a club like this.
"With the fans, they have been amazing. From day one at Cardiff until the last one now. [They've been] top, and we'll see each other again."
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