A host of clubs including Fulham, Newcastle, Blackburn and Bolton are trailing Maynard, who is out of contract next year.
He struck 21 goals last season and his late penalty at Barnsley took his tally to six in eight games after six months out with a knee injury.
Maynard, 24, said: "It's just about being hungry. Everyone wants to play in the Premier League.
"I'm an Arsenal fan, so Gunners legend Ian Wright was one of my heroes. He didn't get to play there until late and it shows what's possible."