As Everton boss, the Scot managed in the Uefa Cup and Europa League several times but the club missed out on Champions League football after agonisingly losing a qualifier 4-2 on aggregate to Villarreal in 2005.
Now the new Red Devils No.1 acknowledges that he must get up to speed as quickly as possible to avoid a slow start in the competition this season.
|14/1||Manchester United are 14/1 with William Hill to win the Champions League
"It's not all about the playing side of it – I've been in the Champions League [qualifiers], watched loads of games, managed in the Europa League – everybody has to start somewhere."
Moyes also believes that winning the Champions League - which United managed twice under predecessor Sir Alex Ferguson - has taken on greater significance in England over time.
He added: "I think, to win one of the big European tournaments, it's always been seen as something special.
"Winning your own domestic league is very important but winning the Champions League has become very important, for the country and Premier League as well.
"I think the year when Manchester United and Chelsea played in the final  everyone connected to football in this country sort of stuck their chest out. It was the German teams this year [at Wembley].In the past it's been the Spanish teams.
"I genuinely think there's a swell [of pride] from our country that we want the British teams to do really well. I've got to say I'm really looking forward it."