The 31-year-old, who has moved to Goodison Park for an undisclosed fee, spoke of his excitement at returning to a club where he began his career after coming through the youth ranks.
"(Winning trophies with Everton) would be the pinnacle," Rooney said. "I really feel now the club is moving in the right direction, bringing the right calibre of players in. I want to be part of it and hopefully part of a successful Everton team.
"It’s a great feeling to be back. I’m excited, I cannot wait to meet the lads, get on the training pitch and then get on the pitch to play. I’m ecstatic – I just cannot wait to get back playing."
Rooney exploded on to the Premier League scene when he netted a stunning winner for Everton against Arsenal aged 16 and he moved to United two years later for a fee reported by British media to be £25 million.