The former West Ham player was primarily used as a substitute by Martin O'Neill during his first season at Villa Park, although he quickly became a fans' favourite.
And he is understood now to be on the radar of newly promoted Stoke, Fulham and QPR.
But Harewood, who has two years remaining of his current contract, is keen to stay and make his mark at Villa.
He said: "There's a lot more to come from this squad and hopefully a lot more to come from me. I want to play my part.
"I'm looking forward to my second season here and hopefully I can show more of what I can do - and hopefully I'll get the chance to shine.
"The fans saw what I could do in the second half of last season and I just want to get out there and show my stuff again next season. I cannot wait for pre-season to start."