Griffiths had originally stated his wish to remain at former club Hibernian after scoring 28 goals for the Scottish Premier League side last season.
However, after being recalled by the League One outfit, the Scotland international has revealed that he is eager to establish himself at Wolves.
The 22-year-old told the club's official website: "I've not had the breaks at Wolves which maybe I could have had previously, but I'm looking forward to the challenge now. I want to get back for pre-season, work hard to get myself in the team and score goals.
"I spoke to the gaffer a couple of weeks ago when I came down and found somewhere to live, so I'm looking forward to getting settled."
Despite signing for the club in 2011, Griffiths has yet to make a league appearance for Wolves.