The midfielder moved to Villa Park on a season-long loan from Manchester United after the Premier League sanctioned the deal.
Villa made a late move before the transfer deadline after initially calling off a permanent deal on Monday because of the player's wage demands.
They then had to wait to see if they had completed the paperwork on time before the move was confirmed on Tuesday.
"I have got to get back playing and hopefully as a by-product of that I can get back in the England team," the 25-year-old, who has 13 caps, told the club website.
"The thing I am concentrating on though is trying to come in and hit the ground running so I can help Aston Villa.
"Playing football is what matters most to me and I'm looking forward to getting back to what I know I can do. This is the kind of club where I can do that.
"The prospect of working under the manager (Paul Lambert) and Roy (Keane, assistant manager), who were both fantastic midfielders in their playing careers, made the decision to come to Villa an easy one.
"I'm looking forward to working with them, but also the other really good midfield players that the club have, like Fabian Delph, Ashley Westwood and other new lads like Kieran Richardson, Joe Cole and Carlos Sanchez."
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